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

garth is packing boxes with books. the list shows how many books are in each of 10 boxes. 6, 14, 6, 18, 9, 9, 12, 10, 11, 15 which statement is true about the number of books packed to a box? the median number of books to a box is 8. the median number of books to a box is 9. the mean number of books to a box is 9. the mean number of books to a box is 11. the mean number of books to a box is 12.
Answer
Answer:
The mean number of books to a box is 11.
Explanation:
Step1: Arrange data in ascending order
6, 6, 9, 9, 10, 11, 12, 14, 15, 18
Step2: Calculate the median
Since there are 10 data - points, the median is the average of the 5th and 6th ordered values. $\frac{10 + 11}{2}=10.5$.
Step3: Calculate the mean
The sum of the data is $6+6 + 9+9+10+11+12+14+15+18=110$. The mean is $\frac{110}{10}=11$.