Find the Arithmetic mean of the following data by Assumed mean method.

21

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

22

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

30

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

33

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

Open in App

Solution

The correct option is C $33$
The above table represents the given data.
Let us take the assumed mean, $a = 25$
We know that, by assumed mean method, the mean of the distribution is given by:

$¯ x = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}}$

$∴ ¯ x = 25 + [\frac{520}{65}] = 25 + 8$

$¯ x = 33$

Hence, the mean of the given distribution, by assumed mean method, is $33$ .

Suggest Corrections

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
No. of students	$5$	$10$	$25$	$30$	$20$	$10$