Let's analyze Blanca's lap times over the three days and represent this data in a histogram.
First, we need to compile all lap times into a single list:
- 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 these lap times from all three days, 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]
Next, we need to count the frequency of each lap time to prepare the data for the histogram:
- 83 seconds: 1 time
- 84 seconds: 2 times
- 85 seconds: 2 times
- 86 seconds: 1 time
- 87 seconds: 1 time
- 88 seconds: 2 times
- 89 seconds: 2 times
- 90 seconds: 2 times
- 91 seconds: 4 times
- 92 seconds: 3 times
- 93 seconds: 2 times
- 94 seconds: 1 time
- 95 seconds: 1 time
Based on the frequency counts, we can create a histogram where the x-axis represents the lap times and the y-axis represents the frequency of each lap time. Here's how it would be structured:
```
Lap Time | Frequency
---------------------
83 | 1
84 | 2
85 | 2
86 | 1
87 | 1
88 | 2
89 | 2
90 | 2
91 | 4
92 | 3
93 | 2
94 | 1
95 | 1
```
Graphical Representation of Histogram:
```
Lap Time Frequency
83
84
85
86
87
88
89
90
91
92
93
94
95
```
The histogram that represents Blanca's lap times over the three days would show the counts as described above. This histogram would help visualize the distribution of her lap times and the frequency with which each time occurred.
