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\(20-25.\)（ ）

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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\(20-25.\)（ ）

C

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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.

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.

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