Question
Provide an appropriate response. The February utility bills (in dollars) for ten residents of a large city are listed below. Find the mode amount. 71676772767273687272 A) \( \$ 67 \) B) \( \$ 76 \) C) \( \$ 73 \) D) \( \$ 72 \)
Ask by George Willis. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The mode amount is \$72.
Solution
To find the **mode** of the utility bills, we first need to identify which amount appears most frequently in the dataset.
**Given Utility Bills:**
```
71676772767273687272
```
Let's break this string into individual two-digit numbers representing each resident's bill:
```
71, 67, 67, 72, 76, 72, 73, 68, 72, 72
```
**Counting the Frequency of Each Amount:**
- **67**: appears **2** times
- **68**: appears **1** time
- **71**: appears **1** time
- **72**: appears **4** times
- **73**: appears **1** time
- **76**: appears **1** time
The number that appears **most frequently** is **72**, occurring **4** times.
**Answer:**
**D) \$72**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find the mode, we need to identify the number that appears most frequently in the list of utility bills: 71, 67, 67, 72, 76, 72, 73, 68, 72, 72. Looking at the counts: - 67 appears **twice** - 71 appears **once** - 72 appears **four times** - 73 appears **once** - 76 appears **once** - 68 appears **once** The number that appears most often is 72. Hence, the mode of the utility bills is \( \$ 72 \). So, the correct answer is D) \( \$ 72 \).
