Question

30 students in a class did a survey of their favorite movie series and recorded the results as follows:

Movie Series
Frequency
Twilight
Harry Potter
Navia
High School Musical
Pirates of the Caribbean
10
6
2
9
3


What was the relative frequency for High School Musical?



A die was thrown 60 times with the following results:


Score
Frequency
1
2
3
4
5
6
8
11
13
7
9
12

What was the relative frequency of each score?

Answer 1

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Answer 2

The relative frequency for high school musical is 0.3, and the relative frequencies of each 1, 2, 3, 4, 5, 6 are 0.133, 0.183, 0.216, 0.116, 0.15, 0.2.

Given:

1st frequency table:

Movie Series                    Frequency

Twilight                                   10

Harry Potter                            6

Navia                                       2

High School Musical              9

Pirates of the Caribbean       3

2nd frequency table:

Score      Frequency

1                     8

2                    11

3                    13

4                    7

5                    9

6                   12

To Find:

1. the relative frequency for high school musical

2. the relative frequencies of each score

Solution:

the relative frequency of high school score = frequency of the high school score/ total frequency

= 9/30

= 0.3

now, the relative frequency of a score of 1 = 8/60 = 0.133

similarly, the relative frequency of 2, 3, 4, 5, and 6 will be 11/60, 13/60, 7/60, 9/60, and 12/60.

Thus, the relative frequency for high school musical is 0.3, and the relative frequencies of each 1, 2, 3, 4, 5, 6 are 0.133, 0.183, 0.216, 0.116, 0.15, 0.2.

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