Question

5. You survey the students in your class to find out what kinds of movies they

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.