Question

A set of data has a mean of 45.6 what is the mean if 5.0 is added to each score

Answer 1

The mean will be increased by 5

Explanation:

Suppose a set of data
`(2, 4, 6, 8, 10, 12)`

Mean is defined as sum of all the values given set of data divided by total number of values.

Mean1 =
`(2+4+6+8+10+12)/(6) = (42)/(6) = 7`

Now if we add 5 toeach value, the new set becomes
`(7, 9, 11, 13, 15, 17)`

for which,

Mean2 =
`(7+9+11+13+15+17)/(6) = (72)/(6) = 12`

Mean2 - Mean1 = 5