Weekly pocket expenses (in Tk.) of 30 students of class VIII are 37, 41, 39, 34, 71, 26, 56, 61, 58, 79, 83, 72, 64, 39, 75, 39, 37, 59, 57, 37, 53, 38, 49, 45, 70, 82, 44, 37, 79, 76. [10]
Organize the above information into a frequency distribution. a) How many classes would you suggest?
b) What is the most suitable class interval?
c) Create the frequency distribution.
d) Calculate cumulative frequency and relative frequency.
e) Construct the histogram from frequency distribution table. f) Describe the shape of the distribution.
Answers
Given : Weekly pocket expenses (in $) of 30 students of class VIII are 37, 41, 39, 34, 71, 26, 56, 61, 58, 79, 83, 72, 64, 39, 75, 39, 37, 59, 57, 37, 53, 38, 49, 45, 70, 82, 44, 37, 79, 76.
To Find : the grouped frequency table with the class interval of equal width
Range
Solution:
Range = Maximum - minimum
83 - 26 = 57
Class interval Tally marks frequency
25 - 30 | 1
30 - 35 | 1
35 - 40 ||| 8
40 -45 || 2
45 - 50 || 2
50 -55 | 1
55 - 60 |||| 4
60 - 65 || 2
65 - 70 0
70 -75 ||| 3
75 - 80 |||| 4
80- -85 || 2