Question

If the mean of 40,-12, -18, 13, p and 17 is 15. Find the value of 'p'?​

Answer 1

Step-by-step explanation:

Given:-

The mean of 40,-12, -18, 13, p and 17 is 15.

To find:-

If the mean of 40,-12, -18, 13, p and 17 is 15. Find the value of 'p'?

Solution:-

Given observations are 40, -12, -18, 13, p, 17

Sum of all observations =

=>40+(-12)+(-18)+13+p+17

=>40-12-18+13+p+17

=>70-30+p

=>40+p

Sum of all observations = 40+p

Number of all observations = 6

We know that,

Mean = Sum of all observations/ Number of all observations

=>Mean = (40+p)/6

According to the given problem

Mean = 15

=>(40+p)/6 = 15

=>40+p = 15×6

=>40+p = 90

=>p = 90 - 40

=>p = 50

Therefore, p = 50

Answer:-

The value of 'p' for the given problem is 50

Check:-

Given observations are : 40,-12,-18,13,50,17

Mean = Sum of all observations/ Number of all observations

Mean =[ (40+(-12)+(-18)+13+50+17]/6

Mean = (120-30)/6

Mean = 90/6

Mean = 15

Verified

Used formulae:-

• Mean = Sum of all observations/ Number of all observations