State whether the following frequency table is true or false.

The marks obtained (out of 20) by 30 students of a class in a test are as follows:

14,16,15,11,15,14,13,16,8,10,7,11,18,15,14,19,20,7,10,13,12,14,15,13,16,17,14,11,10,20

The frequency distribution table for the above data using class intervals of equal width in which one class interval is 4-8 (excluding 8 and including 4) is as follows.

       Class Interval
               Frequency
                 4-8
                          2
                 8-12
                          7
                12-16
                          13
                16-20
                          6
                20-24
                          2
               Total
                          30

Question

State whether the following frequency table is true or false.

The marks obtained (out of 20) by 30 students of a class in a test are as follows:

14,16,15,11,15,14,13,16,8,10,7,11,18,15,14,19,20,7,10,13,12,14,15,13,16,17,14,11,10,20

The frequency distribution table for the above data using class intervals of equal width in which one class interval is 4-8 (excluding 8 and including 4) is as follows.

       Class Interval
               Frequency
                 4-8
                          2
                 8-12
                          7
                12-16
                          13
                16-20
                          6
                20-24
                          2
               Total
                          30

Accepted Answer

Given that the marks obtained (out of 20) by 30 students of a class in a test are as follows: 14,16,15,11,15,14,13,16,8,10,7,11,18,15,14,19,20,7,10,13,12,14,15,13,16,17,14,11,10,20.
We arrange the data in ascending order to know the highest and lowest value.
7, 7, 8, 10, 10, 10, 11, 11, 11, 12, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 18, 19, 20, 20
The lowest value is 7 and highest value is 20. So, we create class intervals of width 4, starting from 4.
Therefore, frequency distribution table for the given data using class intervals of equal width in which one class interval is 4-8 is given by,

Class Interval	Frequency
4-8	2
8-12	7
12-16	13
16-20	6
20-24	2
Total	30

Therefore, given table is correct.
Hence, option (1) is correct.

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