Construct a frequency table for the following ages (in years) of $30$ students using equal class intervals, one of them being $9 - 12$ , where $12$ is not included:
$7, 12, 18, 6, 11, 15, 21, 9, 8, 13, 15, 17, 22, 19, 14, 21, 23, 8, 12, 17, 15, 6, 18, 23, 22, 16, 9, 21, 16, 11 .$

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Solution

Step 1: Organizing the data into frequency distribution table:
Class interval
Frequency
$6 - 9$
$5$
$9 - 12$
$4$
$12 - 15$
$4$
$15 - 18$
$7$
$18 - 21$
$3$
$21 - 24$
$7$
Hence, the frequency distribution table with class intervals $6 - 9, 9 - 12, 12 - 15, 15 - 18, 18 - 21, 21 - 24$ having frequencies $5, 4, 4, 7, 3, 7$ respectively is made.

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Q. What is the cumulative frequency of the modal class of the following distribution?

Class	3−6	6−9	9−12	12−15	15−18	18−21	21−24
Frequency	7	13	10	23	4	21	16

Construct a frequency table for the following ages (in years) of 30 students using equal class intervals, one of them being 9-12, where 12 is not included.
18, 12, 7, 6, 11, 15, 21, 9, 8, 13, 15, 17, 22, 19, 14, 21, 23, 8, 12, 17,15, 6, 18, 23, 22, 16, 9, 21, 11, 16.

The marks obtained by 40 students of a class in an examination are given below.
3, 20, 13, 1, 21, 13, 3, 23, 16, 13, 18, 12, 5, 12, 5, 24, 9, 2, 7, 18, 20,3,10, 12, 7, 18, 2, 5, 7, 10, 16, 8, 16, 17, 8, 23, 24, 6, 23, 15.
Present the data in the form of a frequency distribution using equal class size, one such class being 10-15 (15 not included).

Q. Find the mode of:

$x$	$15$	$16$	$17$	$18$	$19$	$20$	$21$	$22$	$23$
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Q. The marks (out of 25) obtained by students of a certain class are 11, 12, 14, 13, 17, 11, 12, 12, 17, 21, 24, 14, 11, 13, 12, 17, 21, 19, 19, 24, 14, 15, 12, 17, 15, 19, 21, 13, 16, and 15.
What is the mode of marks obtained by students of the class?

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Class interval	Frequency
$6 - 9$	$5$
$9 - 12$	$4$
$12 - 15$	$4$
$15 - 18$	$7$
$18 - 21$	$3$
$21 - 24$	$7$

Construct a frequency table for the following ages (in years) of 30 students using equal class intervals, one of them being 9-12, where 12 is not included:7,12,18,6,11,15,21,9,8,13,15,17,22,19,14,21,23,8,12,17,15,6,18,23,22,16,9,21,16,11.

Step 1: Organizing the data into frequency distribution table:Class intervalFrequency6-959-12412-15415-18718-21321-247Hence, the frequency distribution table with class intervals 6-9,9-12,12-15,15-18,18-21,21-24 having frequencies 5,4,4,7,3,7 respectively is made.

Construct a frequency table for the following ages (in years) of $30$ students using equal class intervals, one of them being $9 - 12$ , where $12$ is not included:
$7, 12, 18, 6, 11, 15, 21, 9, 8, 13, 15, 17, 22, 19, 14, 21, 23, 8, 12, 17, 15, 6, 18, 23, 22, 16, 9, 21, 16, 11 .$