Question

If the mean and median of a moderately skewed data are 41 and 42 respectively, then its mode will be

• A. 42
• B. 41.5
• C. 44
• D. 41

Answer 1

The correct option is C 44

Mean = 41
Median = 42
Using empirical relationship between the three measures of central tendency:
3Median = Mode + 2Mean
$\Rightarrow$ 3(42) = Mode + 2(41)
$\Rightarrow$ 126 = Mode + 82
$\Rightarrow$ 126 – 82 = Mode
$\Rightarrow$ Mode = 44
Hence, the correct answer is option c.