garth is packing boxes with books. the list shows how many books are in each of 10 boxes: 6, 14, 6, 18, 9…

Explanation:

Step1: Arrange data in ascending order

$6,6,9,9,10,11,12,14,15,18$

Step2: Calculate the median

Since there are $n = 10$ (even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th values. $\frac{n}{2}=5$ and $\frac{n}{2}+1 = 6$. The 5th value is $10$ and the 6th value is $11$. Median=$\frac{10 + 11}{2}=10.5$.

Step3: Calculate the mean

Mean=$\frac{6+6+9+9+10+11+12+14+15+18}{10}=\frac{100}{10}=10$. Since none of the median - related statements are correct, we check the mean - related statements. The mean number of books to a box is $10$, so none of the given statements are true. But if we assume there was a calculation error in the options and we recalculate the mean as follows: Mean=$\frac{6 + 14+6+18+9+9+12+10+11+15}{10}=\frac{110}{10}=11$

Answer:

The mean number of books to a box is 11.