Question

A teacher has a list of numbers as given below
| 17 , 13 , 5 , 10 , 14 , 9 , 12 , 16 |
Which two numbers can be removed without changing the mean
(A) 12 and 17
(B) 5 and 12
(C) 10 and 17
(D) 10 and 14

Answer 1

The answer is (d) 10 and 14

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Answer 2

Answer:

d) 10 and 14

Step-by-step explanation:

the mean of the following data is

mean= sum of all nos/ number of observations

=96/8

=12

new mean=old mean=12

if two numbers are removed then the number of observations would be 8-2=6

new mean=sum of all nos/number of observation

12=x/6

x=72

sum of the 2 nos to be removed =

old sum-new sum

=96-72

=24

when you look at the options the only possible option is d)10 and 14