# The Class Marks of a Frequency Distribution Are: 27, 32, 37, 42, 47, 52, 57, 62, 67, 72 and 77. Find the Class Size and True Class Limits. - Mathematics

Sum

The class marks of a frequency distribution are: 27, 32, 37, 42, 47, 52, 57, 62, 67, 72 and 77. Find the class size and true class limits.

#### Solution

The class marks are uniformly spread.
∴ The class size is the difference between any two consecutive class marks.
Class size
= 32 - 27
= 5
The lower limit of the first class

= 27 - (5)/(2)
= 27 - 2.5
= 24.5
The upper limit of the first class

= 27 + (5)/(2)
= 27 + 2.5
= 29.5
Thus, the first class interval is 24.5 - 29.5
Similarly, we can find the class limits of all the class marks given.

 Class Marks Class limits 27 24.5 - 29.5 32 29.5 - 34.5 37 34.5 - 39.5 42 39.5 -- 44.5 47 44.5 - 49.5 52 49.5 - 54.5 57 54.5 - 59.5 62 59.5 - 64.5 67 64.5 - 69.5 72 69.5 - 74.5 77 74.5 - 79.5
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Chapter 22: Statistics - Exercise 22.1

#### APPEARS IN

Frank Class 9 Maths ICSE
Chapter 22 Statistics
Exercise 22.1 | Q 11
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