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 in Exercise 7 change if there were twice as many of each grade?
They would just double right?
To construct a circle graph showing the distribution of grade types in Ike's class, you will need to follow these steps:
Step 1: Calculate the total frequency of all the grades by adding up the frequencies of each grade type. In this case, the total frequency is 2 + 8 + 11 + 2 + 1 = 24.
Step 2: Calculate the percentage of each grade type by dividing the frequency of each grade by the total frequency and multiplying by 100.
For example, the percentage for grade A is (2 / 24) * 100 = 8.33%, grade B is (8 / 24) * 100 = 33.33%, grade C is (11 / 24) * 100 = 45.83%, grade D is (2 / 24) * 100 = 8.33%, and grade F is (1 / 24) * 100 = 4.17%.
Step 3: Multiply each percentage by 3.14 to get the angle measurement for the corresponding grade type in the circle graph (since a circle has 360 degrees).
For example, the angle for grade A would be 8.33% * 3.14 = 26.15 degrees, grade B would be 33.33% * 3.14 = 104.58 degrees, grade C would be 45.83% * 3.14 = 143.96 degrees, grade D would be 8.33% * 3.14 = 26.15 degrees, and grade F would be 4.17% * 3.14 = 13.08 degrees.
Step 4: Draw a circle and divide it into sections where each section represents a grade type. The size of each section should correspond to the angle measurement calculated in step 3.
Step 5: Label each section of the circle graph with the corresponding grade type (A, B, C, D, F).
Now, to answer your question about how the graph would change if there were twice as many of each grade, you would need to repeat the steps outlined above using the new frequency values.
For example, if each grade type had twice the frequency as before, the new frequency values would be A: 2 * 2 = 4, B: 8 * 2 = 16, C: 11 * 2 = 22, D: 2 * 2 = 4, and F: 1 * 2 = 2.
By following the same steps as before, you would calculate the new percentages and angle measurements for each grade type, and then update the circle graph accordingly.