Q. 104.6( 19 Votes )

Find the missing frequencies when the Sum of frequencies is 181. Also, find the mode of the data.

Answer :

To find frequencies, we have Sum of frequencies that is, 181.

Using Sum of frequencies = 181,

x + 15 + 18 + 30 + 50 + 48 + x = 181

â‡’ 2x + 161 = 181

â‡’ 2x = 181 â€“ 161 = 20

â‡’ x = 10

Thus we have,

Here, the maximum class frequency is 50.

The class corresponding to this frequency is the modal class. â‡’ modal class = 13 - 15

âˆ´ lower limit of the modal class (l) = 13

Modal class size (h) = 2

Frequency of the modal class (f_{1}) = 50

Frequency of class preceding the modal class (f_{0}) = 30

Frequency of class succeeding the modal (f_{2}) = 48

Mode is given by,

â‡’

â‡’

â‡’ Mode = 13 + 1.82 = 14.82

Hence, the mode is 14.82.

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