To determine which histogram accurately represents Blanca's lap times over the three days of practice, let's first compile a comprehensive list of all the lap times from the given data:
### Lap Times
- Day 1: 83, 92, 91, 89, 94, 93, 88, 84
- Day 2: 87, 90, 92, 91, 92, 95, 90, 85
- Day 3: 85, 86, 91, 93, 91, 89, 88, 84
Combining all the lap times, we get:
[tex]\[ 83, 92, 91, 89, 94, 93, 88, 84, 87, 90, 92, 91, 92, 95, 90, 85, 85, 86, 91, 93, 91, 89, 88, 84 \][/tex]
### Frequency Calculation
Next, we need to calculate the frequency of each lap time to create a histogram:
- 84 seconds: 2 times
- 85 seconds: 2 times
- 86 seconds: 1 time
- 87 seconds: 1 time
- 88 seconds: 2 times
- 89 seconds: 3 times
- 90 seconds: 2 times
- 91 seconds: 5 times
- 92 seconds: 3 times
- 93 seconds: 3 times
- 94 seconds: 1 time
- 95 seconds: 1 time
### Histogram Description
- The [tex]\(x\)[/tex]-axis of the histogram will represent lap times (seconds).
- The [tex]\(y\)[/tex]-axis of the histogram will represent the frequency of each lap time.
- Each bar in the histogram corresponds to the frequency count of each lap time value.
### Final Histogram Layout
Below, we can outline a textual representation of what the histogram will look like:
```
Lap Time (seconds) | Frequency
-------------------|----------
84 |
85 |
86 |
87 |
88 |
89 |
90 |
91 |
92 |
93 |
94 |
95 |
```
Given this histogram structure, we can identify the correct histogram graphically with intervals of 1 second ranging from 80 to 100 seconds and bars indicating the frequency as listed. Each bar will reflect how many times each specific lap time was recorded across the three days of practice.
