Question

for the following scores the following data set represent the speeds of 33 cars that were measured by a radar device on a city street: 27 23 22 38 43 24 35 26 28 18 20 25 23 22 52 31 30 41 45 29 27 43 29 28 27 25 29 28 24 37 28 29 18 a) classify these data into a frequency distribution table. b) find the class midpoints, class boundaries, the relative frequency and the cumulative frequency for the distribution. c) construct a histogram, a frequency polygon, and an ogive that correspond to the frequency distribution table of problem

Answer 1

Class width = 27-18=7

Mid point of class 18-27 = 22.5

Lower boundary = 18

Speed of 33 cars are:

27, 23, 22, 38, 43, 24, 35, 26, 28, 18, 20, 25, 23, 22, 52, 31, 30, 41, 45, 29, 27, 43, 29, 28, 27, 25, 29, 28, 24, 37, 28, 29, 18

Lowest value is: 18

Highest value is: 45

So, classifying them into groups:

Let us assume the groups are: 18-27, 27-36, 36-45

So, x (Speed) --------- frequency

       18-27 -------------- 12

       27-36 ------------- 14

       36-45 ------------- 7

Class width = 27-18=7

Mid point of class 18-27 = 22.5

Lower boundary = 18

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