Question

note: please make sure to properly format your answers. all dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($12,354.67). all percentage values in the answers need to include a percentage sign (%). for all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.00).
the stem - and - leaf plot shown is called a back - to - back stem - and - leaf plot, and combines two stem - and - leaf plots. it gives the semi - annual premiums for the girls and boys in van buren high school who currently drive. the numbers between the two vertical lines represent the hundreds (left) and tens (right) digits. the numbers on the extreme left show the units digits for the girls. notice they are written in ascending order as you move out from the middle. the numbers on the extreme right show the units digits for the boys.
9 8 1 1 1 |70| 1 2 2
3 |80| 2 4 6 7
7 5 4 |85| 1 3
7 6 6 6 5 |90| 2 7 7 7
1 |95| = $951
5 |70| = $705
a. how many girls at van buren hs drive?
b. how many boys at van buren hs drive?
c. find the range of the annual premiums for all of the students.

Explanation:

Step1: Identify the minimum and maximum values

To find the range of the annual premiums for all students, first, we need to find the minimum and maximum semi - annual premiums from the stem - and - leaf plot. The minimum semi - annual premium is $81$ (from the girls' side as the lowest value in the plot). The maximum semi - annual premium is $107$ (from the boys' side as the highest value in the plot).

Step2: Calculate the range for semi - annual premiums

The range of semi - annual premiums $R_{semi}=107 - 81=26$.

Step3: Calculate the range for annual premiums

Since annual premium is twice the semi - annual premium, the range of annual premiums $R_{annual}=2\times R_{semi}$. So $R_{annual}=2\times26 = 52$.

Answer:

52