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The times taken (to the nearest second) by 108 athletes to run a race is given in the table below:   Time (Seconds) Number of Athletes 50-54 8 55-59 28 60-64 34 65-69 18 70-74 10 75-79 8 80-84 2        (a) State the actual limits between which the times in the class 50-54 lie.         (b) Construct the cumulative frequency distribution and draw the cumulative frequency curve.          (c) Use your curve to estimate          (i) the median,          (ii) the interquartile range.           (d) Draw a box and whisker plot and comment on the skewness of the distribution.                 (e) Find the mean and variance.

The times taken (to the nearest second) by 108 athletes to run a race is given in the table below:   Time (Seconds) Number of Athletes 50-54 8 55-59 28 60-64 34 65-69 18 70-74 10 75-79 8 80-84 2        (a) State the actual limits between which the times in the class 50-54 lie.         (b) Construct the cumulative frequency distribution and draw the cumulative frequency curve.          (c) Use your curve to estimate          (i) the median,          (ii) the interquartile range.           (d) Draw a box and whisker plot and comment on the skewness of the distribution.                 (e) Find the mean and variance.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The times taken (to the nearest second) by 108 athletes to run a race is given in the table below:

 

Time (Seconds)

Number of Athletes

50-54

8

55-59

28

60-64

34

65-69

18

70-74

10

75-79

8

80-84

2

 

     (a) State the actual limits between which the times in the class 50-54 lie.

 

      (b) Construct the cumulative frequency distribution and draw the cumulative frequency curve.

 

       (c) Use your curve to estimate

         (i) the median,

         (ii) the interquartile range.

 

        (d) Draw a box and whisker plot and comment on the skewness of the distribution.

       

        (e) Find the mean and variance.

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