JEE Main · 2015 · 04 Apr 2015 · Offline · Statistics

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The mean of the data set comprising of 16 observations is 16 . If one of the observation valued 16 is deleted and three new observations valued 3 , 4 and 5 are added to the data, then the mean of the resultant data, is :

(A)16.0
(B)15.8
(C)14.0✓ Correct
(D)16.8

Answer: (C)

Solution

Sixteen observations averaging

16

add up to

16 \times 16 = 256

. Removing one value of

16

drops the total to

240

over

15

numbers; then adding

3

4

and

5

lifts the total to

240 + 12 = 252

spread over

18

numbers. The new mean is

\frac{252}{18} = 14.0

JEE Main · 2015 · 04 Apr 2015 · Offline · Single correct option

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