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.

B

Step-by-step explanation:

The mean number of books to a box is 11.

Step-by-step 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.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).