Question

The mean of 5 numbers is 25. If one is included their mean is 27,findt he included number​

Answer 1

Answer:

27

Step-by-step explanation:

Correct option is

A

15

Given the mean of 5 numbers is 25

i.e., no. of numbers=5

Mean=25

We know

Mean=

No. of numbers

sum of numbers

Sum of 5 numbers = Mean × No. of numbers

=25×5

=125

Here

one more number is included

Then no. of numbers is increased by one obstruction

∴ No. of numbers=6

and their mean=27

∴ Sum of 6 numbers =No. of numbers× mean

=6×27

=162

The included number is

=sum of 6 numbers− sum of 5 numbers

=162−125

=27

∴ Included number is 27

Answer 2

Answer:

15

Step-by-step explanation:

Given the mean of 5 numbers is 25

no. of numbers=5

Mean=27

We know,

Mean = Sum of no / No of numbers

Sum of 5 numbers = Mean × No. of numbers

= 27×5 = 135

Here

one more number is included

Then no. of numbers is increased by one obstruction

∴ No. of numbers=6

and their mean=25

Sum of 6 numbers =No. of numbers× mean

=6×25=150

The included number is

=sum of 6 numbers− sum of 5 numbers

=150−135 = 15

∴ Included number is 15.