# If the Mean of the Following Distribution is 2.6, Then the Value Of Y Is - Mathematics

MCQ

If the mean of the following distribution is 2.6, then the value of y is

 Variable (x): 1 2 3 4 5 Frequency 4 5 y 1 2

• 3

• 8

• 13

• 24

#### Solution

Consider the following table.

 Variable (x) f fx 1 4 4 2 5 10 3 y 3y 4 1 4 5 2 10 sumf = 12 + y sumfx = 28 + 3y

Now,

"mean" = (sumfx)/(sumf)

2.6/1 = (28 + 3y)/(12+y)

31.2  + 2.6y = 28 +3y

3y - 2.6y = 31.2 - 28

0.4y = 3.2

y = (3.2)/(0.4)
= 8

Hence, the correct option is (b).

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Q 11 | Page 67