QUESTION IMAGE
Question
a website that reviews recent movies lists 5 five-star films (the highest rating), 17 four-star films, 14 three-star films, 10 two-star films, and 4 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
5 5 10 % 5
4 □ □% □
Step1: Calculate total number of films
Total number of films \(n=5 + 17+14 + 10+4=50\)
Step2: Calculate frequency for 4 - star films
Frequency for 4 - star films is given as \(17\) (from the problem statement)
Step3: Calculate relative frequency for 4 - star films
Relative frequency \(=\frac{\text{Frequency}}{\text{Total number of films}}\times100\%\)
For 4 - star films, relative frequency \(=\frac{17}{50}\times 100\% = 34\%\)
Step4: Calculate cumulative frequency for 4 - star films
Cumulative frequency for 4 - star films is the sum of frequencies of 5 - star and 4 - star films.
Cumulative frequency \(=5 + 17=22\)
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| Stars | Frequency | Relative frequency | Cumulative frequency |
|---|---|---|---|
| 4 | 17 | 34% | 22 |