Question

Explain how to find the frequency of the Green class given the relative frequency. There were 30 items in the data set. Class Relative Frequency Blue 0.1 Brown 0.6 Green 0.3 2. In a pie chart, the class Blue has a 72° slice. In a data set of 50 items, explain how to find the frequency of Blue.

Answer 1

To find the frequency of the Green class given the relative frequency, multiply the relative frequency by the total number of items in the data set. In a pie chart, to find the frequency of Blue, divide the angle of the Blue slice by 360° and then multiply by the total number of items.

Step-by-step explanation:

To find the frequency of the Green class given the relative frequency, you first need to know the total number of items in the data set. In this case, there are 30 items. The relative frequency of the Green class is 0.3. To find the frequency, you multiply the relative frequency by the total number of items. So the frequency of the Green class is 0.3 x 30 = 9 items.

To find the frequency of the Blue class in a data set of 50 items, you need to know the size of the Blue slice in the pie chart. In this case, the Blue slice is 72°. To find the relative frequency of Blue, you divide the angle of the Blue slice by 360°. So the relative frequency of Blue is 72°/360° = 0.2. To find the frequency, you multiply the relative frequency by the total number of items. So the frequency of Blue is 0.2 x 50 = 10 items.