Marks 1 2 3 4 5 Frequency 2y - 2 y - 1 3y - 4 3 - y 6 - 2y The table above is the distribution of data with mean equals to 3. Find the value of y.

Question 1 Report

Marks	1	2	3	4	5
Frequency	2y - 2	y - 1	3y - 4	3 - y	6 - 2y

The table above is the distribution of data with mean equals to 3. Find the value of y.

5

2

3

6

Answer Details

Mean = $\frac{\sum f x}{\sum f}$
$3 = \frac{26 - y}{3 y + 2}$
$3 (3 y + 2) = 26 - y$
$9 y + 6 = 26 - y$
$9 y + y = 26 - 6$
$10 y = 20 ⟹ y = 2$

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