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

Question

If the mean of the following distribution is 2.6, then the value of y isVariable (x):12345Frequency:45y12

Philoid · Accepted Answer

Let the draw the frequency distribution table for the above data

Variable(x_i)

Frequency(f_i)

f_ix_i

1

2

3

4

5

4

5

y

1

2

4

10

3y

4

10

As we know the mean(

In this case,

So we have

⇒ 31.2 + 2.6y = 28 + 3y

⇒ 3.2 = 0.4y

⇒ y = 8