QUESTION IMAGE
Question
a website that reviews recent movies lists 4 five - star films (the highest rating), 15 four - star films, 14 three - star films, 11 two - star films, and 6 one - star films. make a frequency table for the data set. include columns for relative frequency and cumulative frequency. complete the table. (type integers or decimals rounded to the nearest tenth as needed.) stars frequency % relative frequency cumulative frequency
Step1: Calculate total number of films
The total number of films is the sum of films in each star - category. So, $4 + 15+14 + 11+6=50$.
Step2: Calculate frequency for each star - category
The frequency for 5 - star films is 4, for 4 - star films is 15, for 3 - star films is 14, for 2 - star films is 11, and for 1 - star films is 6.
Step3: Calculate relative frequency for each star - category
The relative frequency of a category is the frequency of the category divided by the total number of data points.
For 5 - star films: $\frac{4}{50}=0.08 = 8.0\%$
For 4 - star films: $\frac{15}{50}=0.3 = 30.0\%$
For 3 - star films: $\frac{14}{50}=0.28 = 28.0\%$
For 2 - star films: $\frac{11}{50}=0.22 = 22.0\%$
For 1 - star films: $\frac{6}{50}=0.12 = 12.0\%$
Step4: Calculate cumulative frequency for each star - category
The cumulative frequency for 1 - star films is 6.
For 2 - star films: $6 + 11=17$.
For 3 - star films: $17+14 = 31$.
For 4 - star films: $31 + 15=46$.
For 5 - star films: $46+4 = 50$.
| Stars | Frequency | Relative Frequency (%) | Cumulative Frequency |
|---|---|---|---|
| 4 | 15 | 30.0 | 46 |
| 3 | 14 | 28.0 | 31 |
| 2 | 11 | 22.0 | 17 |
| 1 | 6 | 12.0 | 6 |
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| Stars | Frequency | Relative Frequency (%) | Cumulative Frequency |
|---|---|---|---|
| 4 | 15 | 30.0 | 46 |
| 3 | 14 | 28.0 | 31 |
| 2 | 11 | 22.0 | 17 |
| 1 | 6 | 12.0 | 6 |