Question

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 11. the mean number of books to a box is 12.

Explanation:

Step1: Calculate the mean

First, find the sum of the numbers: $6 + 14+6 + 18+9+9+12+10+11+15=110$. Then, divide by the number of data - points (10). The mean $\bar{x}=\frac{110}{10}=11$.

Step2: Calculate the median

Arrange the data in ascending order: $6,6,9,9,10,11,12,14,15,18$. Since there are 10 data - points (an even number), the median is the average of the 5th and 6th ordered values. Median $=\frac{10 + 11}{2}=10.5$.

Answer:

C. The mean number of books to a box is 11.