PhysicsAndMathsTutor.com 2 ' [3] [3] Distance (metres) (ii) - - PDF document

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physicsandmathstutor com 2 3 3 distance metres ii draw a

Jul 08, 2023 193 likes •241 views

PhysicsAndMathsTutor.com 2 ' [3] [3] Distance (metres) (ii) Draw a bpx and whisker plot to illustrate the data. (B) the lower quaruile, upper quaruile and interquartile range. (A) the median distance fsom school, (i) Use the graph to

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2 Tie cumulative fsequency graph below illustrates the distances that 176 children live fsom their primary school. Numbfr of children 180 161 140 101 80 61 40 20

Distance from sdhool

'

101 200 301 400 501 600 701 800 900 1000 I 101 1200

(i) Use the graph to estimate, to the nearest 10 metrfs,

(A) the median distance fsom school, (B) the lower quaruile, upper quaruile and interquartile range. (ii) Draw a bpx and whisker plot to illustrate the data. Distance (metres) [2] [3]

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PhysicsAndMathsTutor.com

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3 The stem and leaf diagram illustrates the heights in metres of 25 young oak trees. 9 4 8 8 3 5 7 2 3 5 6 2 1 4 6 4 2 4 1 3 4 5 6 7 8 9 6 8 9 Key: 4  2 represents 4.2 [1] [3] (i) State the type of skewness of the distribution. (ii) Use your calculator to find the mean and standard deviation of these data. (iii) Determine whether there are any outliers. [4] 4 At a call centre, 85% of callers are put on hold before being connected to an operator. A random sample of 30 callers is selected. [3] (i) Find the probability that exactly 29 of these callers are put on hold. (ii) Find the probability that at least 29 of these callers are put on hold. [3] (iii) If 10 random samples, each of 30 callers, are selected, find the expected number of samples in which at least 29 callers are put on hold. [2]