Question 13·Easy·Percentages
Call Ratings
| 1 Star | 2 Stars | 3 Stars | 4 Stars | Total | |
|---|---|---|---|---|---|
| Employee A | 16 | 49 | 72 | 8 | 145 |
| Employee B | 4 | 10 | 22 | 34 | 70 |
| Employee C | 8 | 56 | 45 | 16 | 125 |
| Employee D | 22 | 42 | 84 | 12 | 160 |
| Total | 50 | 157 | 223 | 70 | 500 |
A supervisor at a call center reviewed 500 calls taken by four employees and rated each call on a scale from 1 star to 4 stars. According to the table, to the nearest whole percent, what percent of Employee A’s calls received a rating of 1 star?
For table-and-percent questions, start by carefully reading the wording to find the correct subgroup: here, "Employee A’s calls" means your denominator is Employee A’s total, not the total for all employees. Then pick the specific count asked for (1-star calls) as the numerator, form the fraction part/whole, and convert it to a percent by dividing and multiplying by 100. Always check if you must round (nearest whole percent, tenth, etc.) and only then match your result to the answer choices.
Hints
Focus on the correct row and column
Look only at the row for Employee A. Which number in that row shows how many of A’s calls got 1 star, and which number shows Employee A’s total calls?
Set up the correct fraction
You want the percent of Employee A’s calls that were 1 star. In the fraction part/whole, which number is the part (1-star calls), and which is the whole (all calls for Employee A)?
Convert the fraction to a percent and round
After you form the fraction for Employee A, divide the numerator by the denominator to get a decimal. Then multiply by 100 to make it a percent, and be sure to round your final answer to the nearest whole percent.
Desmos Guide
Use Desmos to compute the percent
In Desmos, type (16/145)*100 and look at the output. That value is the percent of Employee A’s calls that were 1 star; then round that result to the nearest whole percent.
Step-by-step Explanation
Identify the relevant numbers in the table
The question asks about Employee A’s calls that received a rating of 1 star.
From the table:
- Number of Employee A’s 1-star calls:
- Total number of Employee A’s calls:
These are the two numbers you need to find the percent of Employee A’s calls that were 1 star.
Write the percent as a fraction of part over whole
A percent is calculated as
- part ÷ whole × 100.
Here:
- The part is the number of 1-star calls for Employee A: .
- The whole is the total number of calls for Employee A: .
So the fraction to convert to a percent is
Then you will multiply this value by to get a percent.
Calculate the value and round to the nearest whole percent
First, divide by :
Now convert this decimal to a percent by multiplying by :
So about % of Employee A’s calls were rated 1 star. Rounding % to the nearest whole percent gives 11%, which corresponds to choice B) 11%.