Use the data in the grade-distribution Use the data in the grade-distribution table below to construct a circle graph showing the distribution of

grade types in Ike’s class.
Grade Frequency
A 2
B 8
C 11
D 2
F 1

How would the graph change if there were
twice as many of each grade?

The cutting points would be the same. Would you want a larger circle to comparatively represent the larger n?

To construct a circle graph showing the distribution of grade types in Ike's class, we first need to calculate the angle for each grade. The formula to calculate the angle is:

Angle = (Frequency of the grade / Total frequency) x 360

Using the given data:

Total frequency = 2 + 8 + 11 + 2 + 1 = 24

Now, let's calculate the angles for each grade:

Angle of A = (2 / 24) x 360 = 30 degrees
Angle of B = (8 / 24) x 360 = 120 degrees
Angle of C = (11 / 24) x 360 = 165 degrees
Angle of D = (2 / 24) x 360 = 30 degrees
Angle of F = (1 / 24) x 360 = 15 degrees

Now we can draw the circle graph by dividing the circle into sectors proportional to the angles of each grade. Use a protractor or compass to measure and draw the sectors accordingly.

If there were twice as many of each grade, the updated data would be:

Grade Frequency
A 4
B 16
C 22
D 4
F 2

To calculate the new angles, we will follow the same process as before:

Total frequency = 4 + 16 + 22 + 4 + 2 = 48

Angles for the updated data:

Angle of A = (4 / 48) x 360 = 30 degrees
Angle of B = (16 / 48) x 360 = 120 degrees
Angle of C = (22 / 48) x 360 = 165 degrees
Angle of D = (4 / 48) x 360 = 30 degrees
Angle of F = (2 / 48) x 360 = 15 degrees

Therefore, if there were twice as many of each grade, the circle graph would still have the same angles for each grade and only the frequencies would change. You can redraw the circle graph with the new frequencies and sectors based on the updated data.