Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color. Red Hair Green eyes: 18 Eye color other than green: 29 Hair Color Other Than Red Green eyes: 114 Eye color other than green: 650 Consider the relative frequency table. To the nearest whole percent, what is the value of x in the table?

Question

Mathematics

Dario Duarte

10 December, 07:30

Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color. Red Hair Green eyes: 18 Eye color other than green: 29 Hair Color Other Than Red Green eyes: 114 Eye color other than green: 650 Consider the relative frequency table. To the nearest whole percent, what is the value of x in the table?

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Kamora Esparza · Answer 1

Given the frequency table on the relationship between red hair and green eyes.

Green Eyes Eye Color other than Green Total

Red Hair 18 29 47

Hair Color

other than 114 650 764

Red

Total 132 679 811

The relative frequency table is obtained from a frequency table by dividing each entry of the requency table by the overall total of the frequency table.

The relative frequency table of the frequency table above is given below.

Green Eyes Other Eye Color Total

Red Hair 18/811 = 0.02 = 2% 29/811 = 0.04 = 4% 47/811 = 0.06 = 6%

Other Hair

Color 114/811 = 0.14 = 14%|650/811 = 0.80 = 80%|764/811 = 0.94 = 94%

Total 132/811 = 0.16 = 16%|679/811 = 0.84 = 84%|811/811 = 1.0 = 100%

Given that x is the relative frequency of people that have other hair color and have green eyes, thus, the value of x is 14%.

Therefore, the value of x in the table = 14%.