Question

5. You survey the students in your class to find out what kinds of movies they
like to watch. The students were given the following choices: Comedy (C), Horror (H), Drama (D),
Action (A), Romance (R).
The following were the results of your survey:
C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D,
HR

d. What is the relative frequency of the people that chose drama? Show
your calculation.

e. What is the relative frequency of the people that chose action? Show
your calculation.

f. What is the relative frequency of the people that chose romance? Show
your calculation.

g. Use the relative frequencies calculated in parts (b) – (f) to explain which
genre of movies is the most popular with your class. Explain your reasoning.

h. If you were having a party for your class which movie genre would you be
least likely to pick?

HELP

Answer 1

Answer:

d. The relative frequency of the people that chose drama is 0.1$\overline 6$

e. The relative frequency of the people that chose action is 0.2

Step-by-step explanation:

The result of the survey is expressed as follows;

C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D, H, R

Sorting the data, with Microsoft Excel, we get;

A,  A,  A,  A,  A,  A,  C,  C,  C,  C, D,  D,  D,  D,  D,  H,  H,  H,  H,  H,  H,  H,  R,  R,  R,  R,  R,  R,  R,  R

From the pivot table created with Microsoft Excel, we have

The frequency of As = 6

The frequency of Cs = 4

The frequency of Ds = 5

The frequency of Hs = 7

The frequency of Rs = 8

The sum of all frequency = 6 + 4 + 5 + 7 + 8 = 30

d. The relative frequency of the people that chose drama is given as follows;

$Relative \, frequency = \dfrac{Frequency \ of \ observation}{Sum \ of \ all \ frequencies}$

The frequency of the people that chose drama = 5

The sum of all frequency = 30

$Relative \, frequency \ of \ the \ people \ that \ chose \ drama = \dfrac{5}{30} = \dfrac{1}{6} = 0.1\overline 6$

The relative frequency of the people that chose drama = 0.1$\overline 6$

e. The relative frequency of the people that chose action, RF action, is given as follows;

$RF \ action = \dfrac{Frequency \ of \ the \ people \ that \ chose \ action}{Sum \ of \ all \ frequencies} = \dfrac{6}{30} = \dfrac{1}{5} = 0.2$

The relative frequency of the people that chose action, RF action = 0.2.