Question

Total students In a class are 14. Petra records the score in each test she takes. The mean of first n scores is x .the mean of first (n -1 )scores is( X + 1 )find the nth score in terms of n and x

Answer 1

Answer:

x-n+1

Step-by-step explanation:

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Answer 2

The nth score in terms of n and x is x-n+1.

Explanation:

Formula :

Mean = (Sum of observations) ÷ (number of observations)  (i)

⇒ Sum of observations = Mean x (number of observations)  (ii)

As per given , number of observations = 14

The mean of first n scores is x .t

Then by (i),

Sum of n scores  = (n) x (x) = nx

The mean of first (n -1 )scores is( X + 1 ).

Then by (i),

Sum of (n-1) scores  = (n-1) x (X+1)

nth score =  Sum of n scores -  Sum of (n-1) scores

= nx -(n-1)(x+1)

= nx- (nx+n-x-1)

= nx-nx-n+x+1

=x-n+1

Hence, the nth score in terms of n and x is x-n+1.

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