Marks of 30 students are listed in the ungrouped distribution as given below. 13, 32, 45, 67, 23, 18, 23, 21, 10, 19,18, 17, 24, 12, 45, 56, 76, 80, 23, 12, 11, 12, 19, 15, 19, 54, 74, 34, 58, 34.

If this distribution is converted into a grouped frequency distribution, what is the length of the class interval if the number of the class interval is 5?

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Solution

The correct option is A 14
We know that,
Range = Maximum value - Minimum value

From the given data we can see that,
Maximum value is 80 and minimum value is 10.

Now,
Range = Maximum value - Minimum value
= 80 - 10
= 70

We are given that, the number of the class interval is 5.

We know that, Length of class interval

= $\frac{R a n g e}{N u m b e r o f c l a s s i n t e r v a l}$

= $\frac{70}{5}$

= 14

Hence, the length of the class interval is 14.

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8, 47, 22, 31, 17, 13, 38, 26, 3, 34, 29, 11, 22, 7, 15, 24, 38, 31, 21, 35, 42, 24,

45, 23, 21, 27, 29, 49, 25, 48, 21, 15, 18, 27, 19, 45, 14, 34, 37, 34

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10

Given below are marks obtained by $20$ students in Math out of $25$ .

$21, 23, 19, 17, 12, 15, 15, 17, 17, 19, 23, 23, 21, 23, 25, 25, 21, 19, 19, 19$

Prepare a frequency distribution table for the given data.

Class marks (Marks)	150	160	170	180	190	200
No. of Students	23	14	16	11	21	15

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