MathematicsThe median and mode respectively of a frequency distribution are 26 and 29. Then its mean is

The median and mode respectively of a frequency distribution are $26$ and $29$ . Then its mean is

Given that,
Median is 26.
Mode is 29.
By using the empirical relation of mean, median and mode formula,
Mode

=

3

Median

-

2

Mean

\Rightarrow

Mean

= \frac{1}{2}

[3Median

-

Mode]

\Rightarrow \frac{1}{2} [3 (26) - 29]

\Rightarrow \frac{1}{2} [49]

\Rightarrow 24.5

Hence, the mean value is 24.5.
Therefore, option (2) is correct.

JEE