Q. 104.6( 19 Votes )
To find frequencies, we have Sum of frequencies that is, 181.
Using Sum of frequencies = 181,
x + 15 + 18 + 30 + 50 + 48 + x = 181
⇒ 2x + 161 = 181
⇒ 2x = 181 – 161 = 20
⇒ x = 10
Thus we have,
Here, the maximum class frequency is 50.
The class corresponding to this frequency is the modal class. ⇒ modal class = 13 - 15
∴ lower limit of the modal class (l) = 13
Modal class size (h) = 2
Frequency of the modal class (f1) = 50
Frequency of class preceding the modal class (f0) = 30
Frequency of class succeeding the modal (f2) = 48
Mode is given by,
⇒ Mode = 13 + 1.82 = 14.82
Hence, the mode is 14.82.
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