To determine which histogram represents Blanca's lap times over the course of three days, we need to consider all the lap times combined together. Here's a detailed step-by-step approach:
1. List the Lap Times for Each Day:
- Day 1 Lap Times (in seconds): 83, 92, 91, 89, 94, 93, 88, 84
- Day 2 Lap Times (in seconds): 87, 90, 92, 91, 92, 95, 90, 85
- Day 3 Lap Times (in seconds): 85, 86, 91, 93, 91, 89, 88, 84
2. Combine the Lap Times from All Days:
- Collect all the lap times into a single list to find the frequency of each time or range of times.
```
Combined Lap Times (in seconds):
83, 92, 91, 89, 94, 93, 88, 84,
87, 90, 92, 91, 92, 95, 90, 85,
85, 86, 91, 93, 91, 89, 88, 84
```
3. Organize the Lap Times:
- To aid in creating a histogram, let's count the frequency of each lap time by grouping them into ranges (bins). For this example, we can use an interval of 2 seconds per bin:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Range (sec)} & \text{Frequency} \\
\hline
83-84 & 3 \\
85-86 & 3 \\
87-88 & 3 \\
89-90 & 4 \\
91-92 & 6 \\
93-94 & 3 \\
95-96 & 1 \\
\hline
\end{array}
\][/tex]
4. Create the Histogram:
- Using the above frequencies, we can draw the histogram:
```
Number of Laps
Frequency
|
|
|
|
|
|
|
|
|-----------------------------
83-84 85-86 87-88 89-90 91-92 93-94 95-96
```
- Interpret the histogram:
- The highest frequency is in the 91-92 second range with 6 laps.
- Both the 89-90 and 83-84 ranges have 4 and 3 laps respectively.
- The lowest frequency is in the 95-96 second range with 1 lap.
This detailed breakdown reveals the correct histogram representing Blanca's lap times from her three days of practice.
