Answer:
The mean number of books to a box is 11.
Explanation:
Given - 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
To find - Which statement is true about the number of books packed to a box?
Solution -
Mean of number of books is equal to
= (6+ 14+ 6+ 18+ 9+ 9+ 12+ 10+ 11+ 15)/10
= 110/10
= 11
∴ we get
The mean number of books to a box is 11.
For Median -
Firstly, arrange the data into increasing order
6, 6, 9, 9, 10, 11, 12, 14, 15, 18
Now, we know that,
If total data(n) is even then median is the average of value at (n/2)th place and [(n/2 + 1]th place
Here n = 10
So,
Median is average of 10 and 11
i.e. Median = (10+11)/2
= 21/2 = 10.5
So,
Median number of books to a box is 10.5
∴ we get
The correct option is - The mean number of books to a box is 11.