Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

Question

Accepted Answer

## Model Answer Using the empirical relationship: **Mode = 3 Median − 2 Mean** Mode = 3 × 40 − 2 × 43 = 120 − 86 = **34** The correct option is **A) 34**. ## Explanation The empirical relationship between the three measures of central tendency is: **Mode = 3 Median − 2 Mean** This formula is stated in Chapter 13. Always substitute Median first, then Mean. Here: 3(40) − 2(43) = 120 − 86 = 34. This is a standard 1-mark application question in board exams.

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