List the different ways statistics can be presented. Define the term - - PDF document

Statistics Maths Slides.notebook 1 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

List the different ways statistics can be presented. Define the term 'statistics' and explain how statistics can be helpful.

Statistics Maths Slides.notebook 2 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

The process of data handling is when you gather, record and present information and data in a way that is more helpful for others. Using statistics to present information is seen as more helpful at times, as it allows a person to quickly take in a lot of information, as it is represented visually. This can be in the form of graphs, charts or tables. It is also sometimes known as statistics.

Statistics Maths Slides.notebook 3 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

This week we will be focusing on pictograms, bar charts and line graphs, but you can represent data using other means too. Tally Chart Bar Chart Pictogram Line Graph Pie Chart

Statistics Maths Slides.notebook 4 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

Today we will be focusing on pictograms! A pictogram uses pictures or symbols to represent data. A key shows the value represented by one picture or symbol. It is important to identify the value of the whole picture or symbol in a pictogram, as part symbols are often used to show lesser values. Discuss the pictogram below and explain what you can infer from the chart.

4 cars

Number of different coloured cars in Amy's Street

4 cars

Statistics Maths Slides.notebook 5 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

4 cars

Number of different coloured cars in Amy's Street

By looking at the chart's title, it is clear that the chart is showing us the number of different colour cars that have been seen on Amy's street. Without having to do any calculating, we can see that silver cars were the most popular colour car, as it has the most symbols in its column, while blue cars were the least popular, as it has the least symbols in its column.

Statistics Maths Slides.notebook 6 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

4 cars

Number of different coloured cars in Amy's Street

To work out the actual number of colour cars we need to use the information provided in both the chart and the key. The key tells us that each whole circle represents 4 cars. As there are 2 circles in the 'black car' column we need to multiple this number by 4, so we know there were 8 black cars! Similarly we can use this knowledge to work

• ut the total number of cars for each colour

represented in the pictogram.

Black Silver Blue 2 x 4 = 8 black cars 6 x 4 = 24 silver cars 1 x 4 = 4 blue cars

Statistics Maths Slides.notebook 7 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

4 cars

Number of different coloured cars in Amy's Street

Working out the number of yellow and red cars is a little tricky, as it involves using our knowledge of fractions. First we need to work

• ut the value of the whole circles and then the

number represented by the fraction value. For example, there are 3 whole symbols in the yellow column, which represent 3 x 4 cars = 12

• cars. However, there is also half a circle in the

yellow column, half of 4 is 2, therefore to get the total number of yellow cars we must complete 12 + 2 = 14!

Yellow 3 x 4 + 2 = 14 yellow cars

Statistics Maths Slides.notebook 8 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

4 cars

Number of different coloured cars in Amy's Street

To work out how many red cars, we must again look at the correct column in the

• pictogram. There are 2 symbols in the red

column, which represent 2 x 4 cars = 8

• cars. However, there is also a quarter of a

circle in the yellow column, a quarter of 4 is 1, therefore to get the total number of red cars we must complete 8 + 1 = 19

Red 2 x 4 + 1 = 9 red cars

Statistics Maths Slides.notebook 9 June 18, 2020 This pictogram shows how many cakes a baker sold on each day of the week.

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

Determine how many cakes were sold on each day. On which day did the baker sell the most cakes? How many more cakes were sold on Sunday than on Thursday?

Statistics Maths Slides.notebook 10 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

How many newspapers were recycled all together? How many fewer boxes than bottles were collected? How much recycling was collected altogether? This pictogram shows how much recycling was collected from one home over a year.

Statistics Maths Slides.notebook 11 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

Jack has used this tally chart to draw a pictogram to show his class' favourite flavoured sweets. Determine whether or not Jack has interpreted the tally chart correctly. What errors can you find?

Statistics Maths Slides.notebook 12 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

Zac has created a pictogram showing the number of pies sold at his father's bakery. He thinks only 15 more apple pies were sold than cherry

• pies. True or false? Convince me.

Statistics Maths Slides.notebook 13 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

Task

Statistics Maths Slides.notebook 14 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

Task

Statistics Maths Slides.notebook 15 June 18, 2020

LO - To interpret and understand data presented in a pictogram

Steps To Success:

I can identify and read the key of a pictogram I can determine the value of each row or column in a pictogram I can answer questions related to data represented by a pictogram

Task

Statistics Maths Slides.notebook 16 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Explain what a bar chart is. Determine whether or not you can have different types of bar charts.

Statistics Maths Slides.notebook 17 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

A bar chart (or graph) organises information into a graphic using bars of different lengths. The length of these bars is proportional to the size of the information they represent. For example, here is a vertical bar graph showing the popularity of different colours among a group of children. As you can see, the names of the colours are written along the bottom ( on the x-axis)_ and a sequence of numbers labelled ‘children‛ are written along the left hand side (on the y-axis). The colours written along the bottom are categories. The numbers along the side represent the value of the category, in this case, how many children have said they like each colour.

Statistics Maths Slides.notebook 18 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Simple bar charts can be used to display a whole range of information and can be presented either vertically or horizontally.

Statistics Maths Slides.notebook 19 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Discuss what the story of this bar chart could be, what information could this data be representing?

What could the intervals be? What could the x axis be called? What questions could you ask about this bar chart? What could the y axis be called? What could the title of this bar chart be?

Statistics Maths Slides.notebook 20 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Discuss what information you can draw from this bar chart. Before answering any questions relating to a bar chart, what can you do to aid your understanding of the information presented to you.

Statistics Maths Slides.notebook 21 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Before answering any questions relating to your bar chart, first you should identify the value represented in each category (in this case the number of each different types of pets). You can do this visually or use a ruler to draw over your graph.

12 14 7 5 8

Identifying the number of cats, dogs and

• ther pets was easy, as these values lie on a

line on the graph. But sometimes, like with the fish and rabbit categories, you have to decipher your value by finding the half way mark between two values on your graph.

We are now ready to try some questions...

Statistics Maths Slides.notebook 22 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

12 14 7 5 8

What is the most popular type of pet? What is the least popular type of pet? How many children own a fish? How many more children own a dog than children who own a rabbit? How many children own either a dog or a cat? How many pets are there in Year 6 altogether?

Statistics Maths Slides.notebook 23 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

12 14 7 5 8

What is the most popular type of pet? What is the least popular type of pet? How many children own a fish? How many more children own a dog than children who own a rabbit? How many children own either a dog or a cat? How many pets are there in Year 6 altogether?

Dog Rabbit 7 9 26 46

Statistics Maths Slides.notebook 24 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Task

Statistics Maths Slides.notebook 25 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Task

Statistics Maths Slides.notebook 26 June 18, 2020

LO - To interpret and understand data presented in a bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Task

Statistics Maths Slides.notebook 27 June 18, 2020

LO - To interpret data presented in a double bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Explain what a bar chart is. Predict what a double bar chart might look like and what it could be used for.

Statistics Maths Slides.notebook 28 June 18, 2020

LO - To interpret data presented in a double bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

A double bar graph is used to display two sets of data on the same graph. For example, if you wanted to show the number of visitors that visited a zoo each month, but wanted to show the number of children and adults separately we would use a double bar graph. The information in a double bar graph is related, and it compares one set of data to another.

Statistics Maths Slides.notebook 29 June 18, 2020

LO - To interpret data presented in a double bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Just like when working with simple bar chart, when working with a double bar chart we need to look at the x-axis (in this case the month of the year) and the y-axis (the scale showing the number of visitors) to help us read and interpret the data shown. We need to also check the key (which shows that the blue bars represents adults visitors and the green bar represents child visitors) when working with a double bar chart.

Before we start solving our double bar chart questions, identify the value of each bar on the chart. This will make answering the questions much easier later on!

Statistics Maths Slides.notebook 30 June 18, 2020

LO - To interpret data presented in a double bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

300 200 500 250 800 400 350 450 550 600

How many adults visited the zoo in July? How many children visited the zoo in April? What month had the most child visitors? What month had the least adult visitors? How many people visited the zoo in total in June? How many more adults visited the zoo in June compared to May? How many people visited the zoo from June to August?

Statistics Maths Slides.notebook 31 June 18, 2020

LO - To interpret data presented in a double bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

300 200 500 250 800 400 350 450 550 600

How many adults visited the zoo in July? 250 How many children visited the zoo in April? 400 What month had the most child visitors? July What month had the least adult visitors? May How many people visited the zoo in total in June? 950 How many more adults visited the zoo in June compared to May? 300 How many people visited the zoo from June to August? 3150

Statistics Maths Slides.notebook 32 June 18, 2020

LO - To interpret data presented in a double bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

What was the best selling flavoured ice cream in shop A? What was the worst selling flavoured ice cream in shop B? How much chocolate ice cream did shop A sell? How much vanilla ice cream did shop B sell? How much more almond ice cream did shop B sell compared to shop A? How much coconut and mango ice cream did shop B sell? Who sold the most ice cream altogether?

Statistics Maths Slides.notebook 33 June 18, 2020

LO - To interpret data presented in a double bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Task

Statistics Maths Slides.notebook 34 June 18, 2020

LO - To interpret data presented in a double bar chart

Steps To Success:

I can identify the intervals of a bar chart I can identify the values represented by each bar in a bar chart I can answer questions related to data represented by a bar chart

Task

Statistics Maths Slides.notebook 35 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Explain what a line graph is. Discuss the similarities and difference that you notice between a bar chart and line graph.

Statistics Maths Slides.notebook 36 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

A line graph is a diagram which uses points and lines on a graph to show how something changes. Line graphs are usually used show how a variable changes

• ver time. For example, line graphs are good when showing temperature over

time, height or weight over time, distanced travelled over time, sales over time, population over time and so on.

Statistics Maths Slides.notebook 37 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Discuss what the story of this line graph could be, what information could this data be representing?

What could the intervals be? What could the x axis be called? What questions could you ask about this line graph? What could the y axis be called? What could the title of this line graph be?

Statistics Maths Slides.notebook 38 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

What does x-axis and y-axis represent on the line graph? Every line graph has an x-axis and y-axis that represent a measurement or variable.

Statistics Maths Slides.notebook 39 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

The x-axis represents the days of the week and the y-axis represents the temperature. Determine how you would find the temperature on Sunday. Identify the day that recorded the lowest temperature. What is the difference between the highest temperature and lowest temperature. Justify your reasoning.

Statistics Maths Slides.notebook 40 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Determine how you would find the temperature on Sunday. In order to find the temperature on Sunday, we should locate Sunday on the x-axis. Then, we are going to go up until we meet the plotted data line. Finally if we line up this point with its corresponding temperature on the y- axis we can find the temperature record on Sund, which is 25

• C!

To help you identify your answer it is best to use a ruler and annotate your line graph!

Statistics Maths Slides.notebook 41 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Identify the day that recorded the lowest temperature. In order to find the lowest temperature on the graph, you need to look carefully at the line graph as a

• whole. When you have identified the

lowest point on the plotted data line, then you should join this point down to the x-axis to identify the correct day

• f the week, which in this case is

Thursday! To help you identify your answer you may still wish to use a ruler, just to ensure that you don't identify the wrong answer!

Statistics Maths Slides.notebook 42 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

What is the difference between the highest temperature and lowest temperature. Justify your reasoning. To identify highest and lowest temperatures on the graph, you need to look carefully at the line graph as a whole. When you have identified the highest and lowest points on the plotted data line, then you should join this point to the y- axis to identify the correct temperature, which in this case is 28

• C and 19
• C, to find

the difference simply calculate 28-19 = 9

• C which is our answer!

Remember to annotate your line graph using a ruler to ensure you identify the right information!

Statistics Maths Slides.notebook 43 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Explain the mistakes in this line graph showing average rainfall in London, which is drawn from the information in the table

Statistics Maths Slides.notebook 44 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Explain the mistakes in this line graph showing average rainfall in London, which is drawn from the information in the table

Spot the Mistakes:

• Scale – 0, 5, 10, 20, 30 40, 50, 60
• April is missing on the graph.
• The value for October should be

57 on the graph not 47.

• Title should be ‘Average Rainfall in

London‛

• “Month” and “Average rainfall

(cm)” need to be swapped round.

• Units are wrong in rainfall it

should be mm.

Statistics Maths Slides.notebook 45 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Anaylse the line graph and determine whether these statements are true or false, remember to justify your reasoning.

True or False:

• The lowest temperature is 5°C
• The difference between the highest

and lowest temperature is 12°C.

• The temperature rose 11°C from

March to May.

• The largest fall in temperature was

from October to November.

Statistics Maths Slides.notebook 46 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Anaylse the line graph and determine whether these statements are true or false, remember to justify your reasoning.

True or False:

• The lowest temperature is 5°C False: 4°C
• The difference between the highest and

lowest temperature is 12°C True: 16°C – 4°C or read on graph

• The temperature rose 11°C from March to

May. False: 5°C; 11°C is the temperature in May

• The largest fall in temperature was from

October to November.True: largest difference between points on the graph.

Statistics Maths Slides.notebook 47 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Task

Statistics Maths Slides.notebook 48 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Task

Statistics Maths Slides.notebook 49 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Task

Statistics Maths Slides.notebook 50 June 18, 2020

LO - To interpret data presented in a line graph

Steps To Success:

I can identify the intervals of a line chart I can relate information on a line graph to both the x and y axis I can answer questions related to data represented by a line graph

Task

Statistics Maths Slides.notebook 51 June 18, 2020