A grouped frequency distribution table with classes of equal sizes using 63-72 (72 included) as one of the classes is constructed for the following data: $30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88, 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96, 102, 110, 88, 74, 112, 14, 34, 44$ .
The number of classes in the distribution will be :

$9$

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$10$

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$11$

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$12$

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Solution

The correct option is B
$10$

The given frequency range varies from $14 t o 112$
The class intervals for given set of data are
$13 - 22$
$23 - 32$
$33 - 42$
$43 - 52$
$53 - 62$
$63 - 72$
$73 - 82$
$83 - 92$
$93 - 102$
$103 - 112$
Hence, number of class interval = $10$ .

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