Question

Which value can be added to the set below without changing its mean?

{4, 10, 14, 18, 22, 22}

0

15

16

22

Answer 1

The answer you are looking for is B. 15

Answer 2

value that can be added to the set without changing its mean is:

15

Explanation:

we are given the data set:

{4, 10, 14, 18, 22, 22}

Mean of this set is= (4+10+14+18+22+22)/6

= 90/6

= 15

• if we add 0 in this set then

new mean=90/7=12.86

• if we add 15 in this list then

new mean = 105/7=15

• if we add 16 in this list

new mean=106/15=7.066

• if we add 22 in this list

new mean=112/15=7.466

Hence, on adding 15 the mean of the data set do not change