Question

Carol opened 20 different bags of the same kind of candy and recorded the colors and their frequencies, as shown in the table below.

Color Red Blue Green Purple

Frequency 10 16 28 18


Match the correct value to the given relative frequency, rounded to the nearest percent.

The relative frequency for Red: ?

Answer 1

Red 10
Blue 16
Green 28
Purple 18
-----
Total = 72

RELATIVE FREQUENCY OF:

Red 10 ==> RELATIVE FREQUENCY =10/72 =0.1388
Blue 16 ==> RELATIVE FREQUENCY =16/72 = 0.2222
Green 28 ==> RELATIVE FREQUENCY = 28/72 =0.3888
Purple 18 ==> RELATIVE FREQUENCY =18/73 =0.25

Answer 2

we are given the following data:

Color Frequency
Red 10
Blue 16
Green 28
Purple 18

Assuming that one bag contains 20 candies, and there are 20 bags, therefore the sample size is 400. Now, we can compute the relative frequencies of all colors of candies:

Red = 10/400 = 0.025