Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

A group of high school students were surveyed about which type of movie they enjoy watching most. The results are shown in the two-way
relative frequency table below.
Female
Male
Total
Comedy
64
54
118
Drama
16
6
22
Action
20
22
42
Sci-Fi
6
27.2% 57.4% 5.7%
12
18
Use the information provided in the table to match each description with the correct percentage of students.
Total
106
94
200
18.9%
6.4%
percentage of female students who prefer sci-fi
45.8% 33.3%
percentage of students who prefer comedies that are male
percentage of male students who prefer dramas
percentage of students who prefer action movies that are female
47.6%

Answer 1

a) 5.7%

b) 45.8%

c) 6.4%

d) 47.6%

Explanation:

remember, we find percentage as:

specific / total

(ex. if we have 2 dogs and 2 cats, and we want to find what percentage of total animals are dogs, we divide 2/4 to get 0.5, or 50%)

percentage of female students who prefer sci-fi

here, we know we have 106 female students (total: 106)

and we have 6 of those students who prefer sci-fi (specific: 6)

6 / 106 = 0.05660..

which we can round to: 0.0566

So, the first percentage is 5.66%

(5.7%)

percentage of students who prefer comedies that are male

we have 118 students who prefer comedies (total: 118)

and 54 of those students that are male (specific: 54)

54 / 118 = 0.4576...

which we can round to 0.4576

So, the second percentage is 45.76%

(45.8%)

percentage of male students who prefer dramas

we have 94 male students (total: 94)

and 6 who prefer dramas (specific: 6)

6 / 94 = 0.0638298...

which we can round to 0.0638

So, the third percentage is 6.38%

(6.4%)

percentage of students who prefer action movies that are female

we have 42 students who prefer action movies (total: 42)

and 20 of those who are female (specific: 20)

20 / 42 = 0.47619..

which we can round to 0.4762

So, the fourth percentage is 47.62%

(47.6%)

hope this helps! have a lovely day :)

Answer 2

Percentage of female students who prefer sci-fi: (6 ÷ 106) × 100 = 5.66%

Percentage of students who prefer comedies that are male: (54 ÷ 118) × 100 = 45.76%

Percentage of male students who prefer dramas: (6 ÷ 94) × 100 = 6.38%

Percentage of students who prefer action movies that are female: (20 ÷ 42) × 100 = 47.62%

To determine the percentage of students who prefer a certain type of movie, we need to use the two-way relative frequency table. Let's go through each description and match it with the correct percentage:

1. Percentage of female students who prefer sci-fi: We divide the number of females who prefer sci-fi (6) by the total number of females (106) and multiply by 100 to get the percentage. 6 / 106 * 100 = 5.66%.
2. Percentage of students who prefer comedies that are male: We divide the number of males who prefer comedies (54) by the total number of males (118) and multiply by 100 to get the percentage. 54 / 118 * 100 = 45.76%.
3. Percentage of male students who prefer dramas: We divide the number of males who prefer dramas (6) by the total number of males (94) and multiply by 100 to get the percentage. 6 / 94 * 100 = 6.38%.
4. Percentage of students who prefer action movies that are female: We divide the number of females who prefer action movies (20) by the total number of females (42) and multiply by 100 to get the percentage. 20 / 42 * 100 = 47.62%.