If the mean and mode of a grouped data is 24 and 26.5 respectively then the median is ……… A) 24. 38 B) 24. 83 C) 23. 48 D) 23. 84
If the mean and mode of a grouped data is 24 and 26.5 respectively then the median is ………
A) 24. 38
B) 24. 83
C) 23. 48
D) 23. 84
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Correct option is: B) 24. 83
Given that mean = 24, made = 26.5
Empirical relation between mean, median and mode is
Mode = 3 Median - 2 Mean
\(\Rightarrow\) Median = \(\frac {Mode + 2 \, Mean}3 = \frac {26.5 + 2 \times 24}3\)
=\( \frac {26.5 + 48}3\)
= \( \frac {74.5}3 = 24.83\)
Hence, median of grouped data is 24.83
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