Question

1. design a pie graph that represents the following information. the following data represents the final letter grade earned by statistics students over the past five years: a – 41%, b – 26%, c – 18%, d – 7%, and f – 8%. (you must specify the number of degrees each category represents for full credit, the drawing just needs to be a best effort at what the pie graph would approximately look like.)

Explanation:

Step1: Calculate degrees for A

A full circle is $360^\circ$. Multiply percentage by $360^\circ$:
$41\% \times 360^\circ = 0.41 \times 360^\circ = 147.6^\circ$

Step2: Calculate degrees for B

Multiply B's percentage by $360^\circ$:
$26\% \times 360^\circ = 0.26 \times 360^\circ = 93.6^\circ$

Step3: Calculate degrees for C

Multiply C's percentage by $360^\circ$:
$18\% \times 360^\circ = 0.18 \times 360^\circ = 64.8^\circ$

Step4: Calculate degrees for D

Multiply D's percentage by $360^\circ$:
$7\% \times 360^\circ = 0.07 \times 360^\circ = 25.2^\circ$

Step5: Calculate degrees for F

Multiply F's percentage by $360^\circ$:
$8\% \times 360^\circ = 0.08 \times 360^\circ = 28.8^\circ$

Step6: Verify total degrees

Sum all calculated angles:
$147.6^\circ + 93.6^\circ + 64.8^\circ + 25.2^\circ + 28.8^\circ = 360^\circ$

Answer:

Grade	Percentage	Degrees in Pie Graph
B	26%	$93.6^\circ$
C	18%	$64.8^\circ$
D	7%	$25.2^\circ$
F	8%	$28.8^\circ$

To draw the pie graph:

1. Draw a full circle.
2. Use a protractor to measure and mark each angle above for its corresponding grade, dividing the circle into 5 slices.
3. Label each slice with its grade and percentage.