Question

The median of a frequency distribution is 15 and its mean is 14.5 .find the mode of the distribution .

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Answer 1

Step-by-step explanation:

MEDIAN = 15

MEAN= 14.5

WE KNOW THAT.

$3(median) = mode + 2(mean) \\ \\ so \\ \\ 3 \times 15 = x + 2 \times 14.5 \\ \\ 45 = x + 29 \\ 45 - 29 = x \\ 16 = x$

Mode = 16

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Answer 2

Answer:

The correct answer of this question is $16$.

Step-by-step explanation:

Given - The median of a frequency distribution is 15 and its mean is 14.5 .

To  Find - Find the mode of the distribution .

The median of a frequency distribution is 15.

The mean is  14.5

According to the question -

$3 (median)$ = $mode$ + $2 ( mean )$

so,

$3$ × $15 = x + 2$ × $14.5$

$45 = x + 29 \\45 - 29 = x$

The mode of the distribution $16$.

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