The median and mode of a frequency distribution are 26 and 29 respectively. Then, the mean is

(a) 27.5 (b) 24.5 (c) 28.4 (d) 25.8
Answer: (b) 24.5
Sol:
Mode = (3 × median) – (2 × mean)
⇒ (2 × mean) = (3 × median) – mode
⇒ (2 × mean) = 3 × 26 – 29
⇒ (2 × mean) = 49

⇒ Mean =
49
2
∴ Mean = 24.5
23.