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

Answer:

The mean will be increased by 5

Step-by-step 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 = $\frac{2+4+6+8+10+12}{6} = \frac{42}{6} = 7$

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

for which,

Mean2 = $\frac{7+9+11+13+15+17}{6} = \frac{72}{6} = 12$

Mean2 - Mean1 = 5