Question

The table reflects the contents of a package of jelly beans. What is the estimated population proportion of the most common flavor? * Hlavor Chern lemon Apple Grape Orange Licorice Coconut Number of beans 3

Answer 1

cherry : 13

lemon: 8

apple: 17

grape: 22

orange: 9

licorice: 3

Coconut: 15

Total of jelly beans: 87

87 represent the 100%

to calculate the estimated population proportion of the most common flavor we need to observe the table and see what is the flavor we more jelly beans, it will be the most common flavor, in this case, is grape

we can calculate using the next formula

`pp=\frac{FJB\cdot\text{ 100}}{TJ}`

where

pp= population proportion

FJB = number jelly beans with the same flavor

TJ= total jelly beans

we will calculate the grape flavor

FJB=22

TJ=87

`pp=\frac{22\cdot\text{ 100}}{87}=25.28`

the estimated population proportion of the most common flavor is 25.28%