If mean and median of given set of observations are 10 and 11 respectively, then the value of mode is :

Question

Accepted Answer

## Model Answer **(c) 13** Using the empirical relationship: Mode = 3 Median − 2 Mean = 3(11) − 2(10) = 33 − 20 = **13**. Source: Chapter 13, Section 13.4 (Remarks) --- ## Explanation The key formula to remember is the empirical relationship between the three measures of central tendency: **Mode = 3 Median − 2 Mean** This is stated in the Remarks under Section 13.4. Simply substitute Mean = 10 and Median = 11 to get Mode = 33 − 20 = 13. Examiners expect you to recall and apply this formula directly for such 1-mark questions.

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