Question

In: Math

In a debate on altering the traffic system in the city centre, measurement of a number...

In a debate on altering the traffic system in the city centre, measurement of a number of cars per minutes were taken at two intersections during the hours between 07h00 and 08h00 (when the roads were most busy). The results are shown in the table below:

Number of cars

frequency

10-14

5

15-19

8

20-24

10

25-29

12

30-34

14

35-39

5

40-44

3

45-48

3

  1. Average
  2. Median and the mode
  3. Standard deviation
  4. Interquartile range
  5. Co-efficient of variation

Solutions

Expert Solution

Descriptive Statistics

First we construct the following table:

Class limits Class boundaries x f xf x2f cumulative freq
10-14 9.5-14.5 12 5 60 720 5
15-19 14.5-19.5 17 8 136 2312 13
20-24 19.5-24.5 22 10 220 4840 23
25-29 24.5-29.5 27 12 324 8748 35
30-34 29.5-34.5 32 14 448 14336 49
35-39 34.5-39.5 37 5 185 6845 54
40-44 39.5-44.5 42 3 126 5292 57
45-48 44.5-49.5 47 3 141 6627 60
Total 60 1640 49720


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