Question

If the mean of 6, 7, x, 8, y, 14 is 9, then
(a)x + y = 21
(b)x + y = 19
(c)x − y = 19
(d)x − y = 21

Answer 1

SOLUTION :  

The correct option is (b) : x + y = 19

Given : MEAN of the frequency distribution = 9  

Observations are : 6,7, x, 8, y,14  

Total number of observations = 6  

MEAN = Sum of all the observations/ Total number of observations

9 = (6+7+x+8+y+14)/6

9 × 6 = 35 + x + y  

54 = 35 + x + y  

x + y = 54 - 35

x + y = 19

Hence, the value of x + y is 19 .

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Answer 2

If the mean of 6, 7, x, 8, y, 14 is 9, then
(a)x + y = 21
(b)x + y = 19
(c)x − y = 19
(d)x − y = 21

Answer: B) x + y = 19

Explanation:

Value of the frequency distribution = 9  

Observations are : 6, 7, x, 8, y, 14  

Total number of observations = 6  

MEAN = Sum of all the observations/ Total number of observations

9 = (6+7+x+8+y+14)/6

9 × 6 = 35 + x + y  

54 = 35 + x + y  

x + y = 54 - 35

x + y = 19

Therefore, the value of x + y is 19.