Answer:
d. The relative frequency of the people that chose drama is 0.1[tex]\overline 6[/tex]
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;
[tex]Relative \, frequency = \dfrac{Frequency \ of \ observation}{Sum \ of \ all \ frequencies}[/tex]
The frequency of the people that chose drama = 5
The sum of all frequency = 30
[tex]Relative \, frequency \ of \ the \ people \ that \ chose \ drama = \dfrac{5}{30} = \dfrac{1}{6} = 0.1\overline 6[/tex]
The relative frequency of the people that chose drama = 0.1[tex]\overline 6[/tex]
e. The relative frequency of the people that chose action, RF action, is given as follows;
[tex]RF \ action = \dfrac{Frequency \ of \ the \ people \ that \ chose \ action}{Sum \ of \ all \ frequencies} = \dfrac{6}{30} = \dfrac{1}{5} = 0.2[/tex]
The relative frequency of the people that chose action, RF action = 0.2.
