Convert the following data into grouped frequency table. Find the total frequency:
$2, 3, 4, 12, 11, 2, 4, 3, 15, 15, 16, 2, 3, 20, 20$

10

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15

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20

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25

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Solution

The correct option is B $15$
Arrange the data in order: $2, 2, 2, 3, 3, 3, 4, 4, 11, 12, 15, 15, 16, 20, 20$
Range $=$ largest number $-$ smallest number
Range $= 20 - 2 = 18$
Let us form $4$ groups from the data, class width $= \frac{range}{4} = \frac{18}{4} = 4.5$ round off the number, we get $5$ .
Form a table,
Class interval
Frequency
$0 - 5$
$8$
$6 - 11$
$1$
$12 - 17$
$4$
$18 - 23$
$2$
So, the total frequency $= 8 + 1 + 4 + 2 = 15$ .

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12, 12, 11, 12, 2, 3, 3, 3, 4, 4, 2, 2, 5, 6, 7, 4, 7, 8, 15, 15, 20, 20

3, 4, 5, 6, 6, 5, 4, 3, 2, 2, 2, 1, 7, 7, 8, 2

The marks obtained by 40 students of class VIII in an examination are given below:

16, 17, 18, 3, 7, 23, 18, 13, 10, 21, 7, 1, 13, 21, 13, 15, 19, 24, 16, 3, 23, 5, 12, 18, 8, 12, 6, 8; 16, 5, 3, 5, 0, 7, 9, 12, 20, 10, 2, 23.

Divide the data into five groups, namely 0-5, 5-10, 10-16, 15-20 and 20-25 and prepare a grouped frequency table.

$X$	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$
frequency	$2$	$4$	$6$	$8$	$10$

Class interval	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
Frequency	$7$	$12$	$8$	$10$

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