The median and mode of a distribution are 25·2 and 26·1 respectively. The mean of the distribution is :

Question

Accepted Answer

## Model Answer Using the empirical relationship: **3 Median = Mode + 2 Mean** 3(25.2) = 26.1 + 2 Mean → 75.6 – 26.1 = 2 Mean → Mean = 49.5/2 = **24.75** **Answer: (A) 24·75** ## Explanation The key formula is the empirical relation: 3 Median = Mode + 2 Mean (stated in Chapter 13, Remarks section). Rearranging gives Mean = (3 Median – Mode) / 2. Substitute Median = 25.2, Mode = 26.1 to get (75.6 – 26.1)/2 = 24.75. Examiners expect you to recall and apply this formula directly.

Mathematics — Standard (041) — CBSE Class 10 board question