Question

Get information from your class mates on the monthly pocket allowance they get from their parents. Present the raw data in terms of a frequency distribution. Show cumulative frequencies of your statistical series. Present your information in the form of (i) Less than ogive, and (ii) More than ogive.

Answer 1

Continuous frequency distribution

Pocket allowance(Rs)	Number of Students
0-10 10-20 20-30 30-40 40-50 50-60 60-70	5 7 10 25 35 10 8

For constructing a less than ogive , first the given frequency distribution must be converted into a less than cumulative frequency distribution as follows.

Pocket allowance	Cumulative Frequency
Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70	5 5 + 7 = 12 12 + 10 = 22 22 + 25 = 47 47 + 35 = 82 82 + 10 = 92 92 + 8 = 100

For constructing a more than ogive , first the given frequency distribution must be converted into a more than cumulative frequency distribution as follows.

Pocket allowance	Cumulative Frequency
More than 0 More than 10 More than 20 More than 30 More than 40 More than 50 More than 60 More than 70	100 100 − 5 = 95 95 − 7 = 88 88 − 10 = 78 78 − 25 = 53 53 − 35 = 18 18 − 10 = 8 8 − 8 = 0