3.29 Daily Motorcycle Accidents. The Scottish Executive, A tical Services Divisi

Question

3.29 Daily Motorcycle Accidents. The Scottish Executive, A tical Services Division Transport Statistics, compi cycle accidents. During one year, the numbers of m accidents in Scotland were tabulated by day of the week for hutyce roads and non-built-up roads and resulted in the following data, p nal les data on motor Day Built-up Non-built-up Monday Tuesday Wednesday 76 Thursday Friday Saturday Sunday 70 58 59 53 56 94 102 100 98 103 85 69 a. Find the mean and median of the number of accidents for built-up b. Find the mean and median of the number of accidents for non- c. If you had a list of only the day of the week for each accident, d. What might explain the difference in the modal days for the two roads. built-up roads. what day would be the modal day for each type of road? types of roads?

Explanation / Answer

a)

mean number of accidents =88.43

median =(n+1)pth value )= (619+1)*0.5 th value =310 th value =Thursday (as 310th value fall in it)

b)

frm above mean =70.29

median =(492+1)*0.5 th value =246.5 th value =Friday

c)

model class for build up is Friday while that for non build up is Sunday (due to highest frequency in that class)

d)

this may be due to the fact of friday being the working day while Sunday being the non working day where most motorcycles are supposed to go from non build uo roads

S.no X cumulative frequency Monday 88 88 Tuesday 100 188 Wednesday 76 264 Thursday 98 362 Friday 103 465 Saturday 85 550 Sunday 69 619 average 88.43

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