The following data are the time taken for runners to finish a 5-kilometer run in a running event. Time (minutes) 10 - 19 20-29 30 - 39 40 - 49 50-59 60 - 69 Number of runners 6 18 25 32 22 10 a) Calculate the mean, median and standard deviation for the above data. (8 marks) b) Determine the shape of distribution for the data by using Pearson's coefficient of skewness. (2 marks)
b) Pearson's coefficients correlation = 3* ( mean - median)/ standard deviations
= 3*(41.2257-41.8438)/13.3926 = −0.13845705837 answer
Negatively skewed (left ) distribution bell
The following data are the time taken for runners to finish a 5-kilometer run in a running event.
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