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The following data: $$2, 5, 15, 25, 20, 12, 8, 7, 6, 16, 21,17, 30, 32, 23, 40, 51, 15, 2, 9, 57, 19, 25$$ is grouped in the classes $$0-5,5-10,10-15$$ etc. Find the frequency of the class$$20-25.$$（ ）
A. $$5$$
B. $$4$$
C. $$3$$
D. $$2$$
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QuestionMathsClass 8

The following data: $$2, 5, 15, 25, 20, 12, 8, 7, 6, 16, 21,17, 30, 32, 23, 40, 51, 15, 2, 9, 57, 19, 25$$ is grouped in the classes $$0-5,5-10,10-15$$ etc. Find the frequency of the class$$20-25.$$（ ）
A. $$5$$
B. $$4$$
C. $$3$$
D. $$2$$

C
4.6
4.6

Solution

Solution:
We have $$2, 5, 15, 25, 20, 12, 8, 7, 6, 16, 21,17, 30, 32, 23, 40, 51, 15, 2, 9, 57, 19, 25$$
The data lie in a class interval $$x-y$$ include all the data between $$x$$ and $$y$$ including $$x$$.
Now, observation $$20,21,23,$$ lie in the class interval $$20-25$$.
So, frequency of class interval $$20-25$$ is $$3.$$
Hence, the option $$(C)$$ is correct.