Question

In a school, 46 students of 9th standard, were told to measure the lengths of the pencilsin their compass-boxes in centimeters. The data collected was as follows.


16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10

By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution

table.

Answer 1

Given:

In a school, 46 students of 9th standard, were told to measure the lengths of the pencilsin their compass-boxes in centimeters. The data collected was as follows.

16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10

The grouped frequency distribution table for the given data is as follows:

Class Interval	Tally Marks	Frequency
0-5	$\cancel{\left|\right|\left|\right|}$	5
5-10	$\cancel{\left|\right|\left|\right|}$ $\cancel{\left|\right|\left|\right|}$ $\cancel{\left|\right|\left|\right|}$ $\cancel{\left|\right|\left|\right|}$	20
10-15	$\cancel{\left|\right|\left|\right|}$ $\cancel{\left|\right|\left|\right|}$ $\cancel{\left|\right|\left|\right|}$	15
15-20	$\cancel{\left|\right|\left|\right|}$ $|$	6
	Total	46