A cell phone company surveyed 200 random customers on whether they were satisfied with their phone service. They also noted which service plan each customer had. The results are shown in the frequency table below. Use this table to create a relative frequency table.
| | Plan A | Plan B | Total |
| :------------- | :----- | :----- | :---- |
| Satisfied | 104 | 64 | 168 |
| Not Satisfied | 8 | 24 | 32 |
| Total | 112 | 88 | 200 |
Drag each tile to the correct cell in the table.
100%
4%
16%
84%
56%
44%
52%
12%
32%
| | Plan A | Plan B | Total |
| :------------- | :----- | :----- | :---- |
| Satisfied | | | |
| Not satisfied | | | |
| Total | | | |
Answer (2)
Calculate the relative frequency for each cell by dividing the frequency by the total number of customers (200).
Convert each relative frequency to a percentage by multiplying by 100.
Fill in the relative frequency table with the calculated percentages.
The relative frequency table is:
Plan A
Plan B
Total
Satisfied
52%
32%
84%
Not Satisfied
4%
12%
16%
Total
56%
44%
100%
Explanation
Understand the problem and provided data We are given a frequency table showing the results of a cell phone company survey of 200 customers, categorized by service plan (Plan A and Plan B) and satisfaction (Satisfied and Not Satisfied). Our goal is to create a relative frequency table, which shows the proportion of customers in each category relative to the total number of customers.
Calculate relative frequencies To create the relative frequency table, we need to calculate the relative frequency for each cell in the table. This is done by dividing the frequency of each cell by the total number of customers, which is 200. Then, we convert each relative frequency to a percentage by multiplying by 100.
Calculate each relative frequency
Satisfied and Plan A: 200 104 = 0.52 = 52%
Satisfied and Plan B: 200 64 = 0.32 = 32%
Satisfied and Total: 200 168 = 0.84 = 84%
Not Satisfied and Plan A: 200 8 = 0.04 = 4%
Not Satisfied and Plan B: 200 24 = 0.12 = 12%
Not Satisfied and Total: 200 32 = 0.16 = 16%
Total and Plan A: 200 112 = 0.56 = 56%
Total and Plan B: 200 88 = 0.44 = 44%
Total and Total: 200 200 = 1.0 = 100%
Construct the relative frequency table Now we can fill in the relative frequency table with the calculated percentages:
Plan A
Plan B
Total
Satisfied
52%
32%
84%
Not Satisfied
4%
12%
16%
Total
56%
44%
100%
Final Answer The relative frequency table is:
Plan A
Plan B
Total
Satisfied
52%
32%
84%
Not Satisfied
4%
12%
16%
Total
56%
44%
100%
Examples
Relative frequency tables are useful in market research to understand customer satisfaction across different segments. For example, a company might use this table to see that 52% of their customers are satisfied with Plan A. This information can help the company make decisions about how to improve their services and target their marketing efforts.
The relative frequency table shows the percentage of customers satisfied and not satisfied with their phone service across two plans. For Plan A, 52% are satisfied, while for Plan B, 32% are satisfied. Overall, 84% of customers reported satisfaction with the service offered by the company.
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