Question

A 1-pound bag of Skittles contained 100 Red, 83 Green, 93 Orange, 80 Yellow, and 79 Purple colored Skittles. To create a pie chart of this data the angle for the slice representing each color must be computed. What is the degree measure of the slice representing the green Skittles rounded to the nearest degree?

Answer 1

To find the degree measure of the slice representing the green Skittles in the pie chart, calculate the proportion of green Skittles out of the total number of Skittles, and then convert it to a degree measure using the formula. The degree measure is approximately 69 degrees.

Step-by-step explanation:

To find the degree measure of the slice representing the green Skittles in the pie chart, we need to calculate the proportion of green Skittles out of the total number of Skittles. There are 83 green Skittles out of a total of 100+83+93+80+79=435 Skittles. So, the proportion of green Skittles is 83/435. To find the corresponding degree measure, we can use the formula:

Degree measure = (Proportion of green Skittles) × 360 degrees.

Substituting the values, we get:

Degree measure = (83/435) × 360 degrees = 69.1954023 degrees.

Rounding this to the nearest degree, the degree measure of the slice representing the green Skittles is 69 degrees.

Answer 2

Answer: The degree of measure would be 68.69°.

Step-by-step explanation:

Since we have given that

Number of red colored skittles = 100

Number of green colored skittles = 83

Number of orange colored skittles = 93

Number of yellow colored skittles = 80

Number of purple colored skittles = 79

So, Total number of colored skittles =
`100+83+93+80+79=435`

So, the degree of measure of the slice representing green skittles would be

`(83)/(435)* 360^\circ\\\\=68.69^\circ`

Hence, the degree of measure would be 68.69°.