Question

An original data set has the values 14, 2, 11, 6, and 2. What would need to be added to each value to change the mean to 15?

a. 1
b. 8
c. 9
d. 13

Please help! Only one question :-/

Answer 1

what is the mean of the current data set?

Answer 2

\[mean=\frac{14+2+11+6+2}{5}\]
\[mean+k=\frac{(14+k)+(2+k)+(11+k)+(6+k)+(2+k)}{5}\]
\[mean+k=\frac{14+2+11+6+2+5k}{5}\]
\[mean+k=\frac{14+2+11+6+2}{5}+\frac{5k}{5}\]
\[mean+k=\frac{14+2+11+6+2}{5}+k\]

Answer 3

in other words, the mean of similar (dare i say congruent) data sets differ by a constant