Question

the mean of the scores 6 , 4 , 7 , a , and 10 is 8, then the value of ‘a’ is 

a) 23

b) 24

c) 13

d) 17​

Answer 1

|| GIVEN ||

Mean of the scores 6 , 4 , 7 , a , 10 = 8

|| TO FIND ||

The value of a = ?

|| FORMULA ||

$\bf \: Mean = \dfrac{Sum \: of \: the \: terms}{Total \: number \: of \: Terms}$

|| SOLUTION ||

Mean = Sum of the terms / Total no of terms.

$\implies \: \dfrac{6 + 4 + 7 + a + 10}{5} = 8$

Given , Mean = 8

$\implies \: \dfrac{27 + a}{5} = 8$

$\implies \: 27 + a = 40$

$\implies \: a = 40 - 27$

$\bf \: \therefore \: \: a = 13$

Option c is the right answer !

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Answer 2

Answer:

Given :-

the mean of the scores 6 , 4 , 7 , a , and 10 is 8

To Find :-

Value of a

Solution :-

We know that

Mean = Sum of observation/No. of observation

8 = 6 + 4 + 7 + a + 10/5

8 × 5 = 6 + 4 + 7 + a + 10

40 = 27 + a

40 - 27 = a

13 = a