Let's combine the lap times across all three days to represent Blanca's overall lap times.
From the given table, we have:
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
Now, let's list all the lap times together:
[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]
To create a histogram, we need to group these times into intervals (bins) and count the number of lap times that fall into each interval. A common way to do this is to use intervals of 5 seconds. Here’s a possible bin breakdown:
- 80-84
- 85-89
- 90-94
- 95-99
Now, let’s count the number of times that fall into each of these bins.
1. 80-84 seconds:
- 83, 84, 84: 3 times
2. 85-89 seconds:
- 85, 85, 86, 88, 88, 89, 89: 7 times
3. 90-94 seconds:
- 90, 90, 91, 91, 91, 91, 91, 92, 92, 92, 93, 93, 94: 13 times
4. 95-99 seconds:
- 95: 1 time
Now we can represent this data in a histogram format:
- 80-84: | (3 times)
- 85-89: | (7 times)
- 90-94: | (13 times)
- 95-99: | (1 time)
So, the histogram illustrating Blanca’s lap times for the three days will have:
- 3 entries in the 80-84 seconds bin,
- 7 entries in the 85-89 seconds bin,
- 13 entries in the 90-94 seconds bin,
- 1 entry in the 95-99 seconds bin.
