The mean and mode of a frequency distribution are respectively $25.55$ and $18.30$ . Find the median of the distribution.

23.13

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

21.4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

20.45

No worries! We‘ve got your back. Try BYJU‘S free classes today!

22.7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $23.13$
$∵ M o d e = 3 M e d i a n - 2 M e a n$

$⟹ 18.30 = 3 M e d i a n - 2 (25.55)$

$⟹ 18.30 = 3 M e d i a n - 51.1$

$⟹ 18.30 + 51.1 = 3 M e d i a n$

$⟹ 69.4 = 3 M e d i a n$

$⟹ M e d i a n = \frac{69.4}{3}$

$∴ M e d i a n = 23.13$

Option A is correct.

Suggest Corrections

Similar questions

The mean and mode of a frequency distribution are 28 and 16 respectively. The median is

(a) 22 (b) 23.5 (c) 24 (d) 24.5

54.6

54

72

78

Join BYJU'S Learning Program