Question

If the mean of five values is 9.6 and four of the values are 8, 14, 7, and 13, find the fifth value. ​

Answer 1

The missing value is 6

Explanation:

We know that there are 5 values but only 4 are given:

⇒ The given values are: 8, 14, 7, and 13

⇒ Let the fifth value be "x"

We also know the mean which is 9.6

Solve for the missing value:

⇒ 9.6 (mean) =
`(8 + 14 + 7 + 13 + x)/(5 numbers)`

multiply 5 on both sides

⇒ 9.6 x 5 =
`(8 + 14 + 7 + 13 + x)/(5 numbers)` x 5

⇒ 48 = 8 + 14 + 7 + 13 + x

add the numbers:

⇒ 8 + 14 + 7 + 13 + x = 42 + x

the equation becomes:

⇒ 48 = 42 + x

Now, subtract 42 on both sides:

⇒ 48 - 42 = 42 - 42 + x

⇒ 6 = x