type the correct answer in the box. use numerals instead of words. mason conducted a survey of his class to…

type the correct answer in the box. use numerals instead of words. mason conducted a survey of his class to determine if they prefer to use pens or pencils for their math homework. out of the 30 students in his class, 12 of them are male. a total of 21 students said they prefer pencils, and 12 of those students are female. fill in the missing joint and marginal frequencies in the table. \n| | pencils | pens | total |\n|--|--|--|--|\n| male | % | 10% | 40% |\n| female | % | 20% | % |\n| total | 70% | % | 100% |

type the correct answer in the box. use numerals instead of words. mason conducted a survey of his class to determine if they prefer to use pens or pencils for their math homework. out of the 30 students in his class, 12 of them are male. a total of 21 students said they prefer pencils, and 12 of those students are female. fill in the missing joint and marginal frequencies in the table. \n| | pencils | pens | total |\n|--|--|--|--|\n| male | % | 10% | 40% |\n| female | % | 20% | % |\n| total | 70% | % | 100% |

Answer

Explanation:

Step1: Find male - pencils percentage

We know 12 out of 30 students are male and prefer pencils. $\frac{12}{30}\times100 = 40%$.

Step2: Find female - pencils percentage

Total students who prefer pencils is 21, 12 are male, so 21 - 12=9 are female. $\frac{9}{30}\times100 = 30%$.

Step3: Find female - total percentage

Total students is 30, 12 are male, so 30 - 12 = 18 are female. $\frac{18}{30}\times100=60%$.

Step4: Find pens - total percentage

Since total is 100% and pencils - total is 70%, pens - total is 100 - 70=30%.

Answer:

Pencils Pens Total
Male 40% 10% 40%
Female 30% 20% 60%
Total 70% 30% 100%