If the arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is
A. 10
B. 12
C. 14
D. 16
Answers
Given: Arithmetic mean of 7, 5, 13, x and 9 is 10
Total number of observations = 5
Mean = sum of all the observations/total number of observations
10 = (7 + 5 + 13 + x + 9)/5
10 × 5 = 34 + x
50 = 34 + x
50 - 34 = x
x = 16
Hence, the value of x is 16.
Option (D) 16 is correct.
Extra information :
Mean:
The mean of a number of observations is the sum of the values of all the observations divided by the total number of observations.
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Answer:
Step-by-step explanation:
Given :-
Arithmetic mean of 7, 5, 13, x and 9 is 10
Total number of observations = 5
To Find :-
Value of x.
Formula to be used :-
Arithmetic mean = Total sum/Total number
Solution :-
According to the Question,
Arithmetic mean = Total sum/Total number
⇒ 10 = (7 + 5 + 13 + x + 9)/5
⇒ 10 × 5 = 34 + x
⇒ 50 = 34 + x
⇒ 50 - 34 = x
⇒ x = 16
Hence, the value of x is 16.