Question

If the mean and mode of a data set are 2 and 5 respectively, find the median of a data set.

• A. 5
• B. 2
• C. 3
• D. 4
  

Answer 1

The correct option is C 3

As we know,
3 Median = Mode + 2 Mean.
Given,
Mean = 2
Mode = 5
Putting these values in above equation we get,
3 Median = 5 + 2 × 2
3 Median = 5 + 4
3 Median = 9
Median = $\frac{9}{3}$
Median = 3