Lap time
DeciMin
2.58
2.37
2.32
2.40
2.35
2.37
2.45
2.45
2.53
2.47
2.42
2.42
2.42
2.48
2.42
2.28
2.87
2.77
2.72
2.78
2.85
2.92
2.83
2.90
2.77
3.13
2.97
2.92
2.80
2.77
2.37

### Quiz Two • Name:

Although I more often run along the roads of Kolonia, every once in a while I run laps at the PICS track. The data in the table includes two different evenings of track laps. Your task will be to sketch a frequency histogram of the lap times on this quiz paper.

I would recommend that you cut and past the data into OpenOffice to prevent typing errors.

Note that the data is in decimal minutes. That is, 2.5 is 2 minutes and 30 seconds. 2.25 would be 2 minutes and 15 seconds. You do not have to worry about this conversion, just use the decimal time data for your frequency histogram.

1. _________ What level of measurement is lap data?
2. _________ Determine the sample size n (number of laps).
3. _________ Determine the minimum lap time.
4. _________ Determine the maximum lap time.
5. _________ Calculate the range.
6. _________ Determine the bin width. Use 5 bins.
7. Fill in the following table with the bin upper limits in the first column, the frequencies in the second column, and the relative frequencies in the third column.
BinsFrequencyRelative Frequency f/n
___________________________
___________________________
___________________________
___________________________
___________________________
Sums:__________________
8. Sketch the frequency histogram of the lap data on this paper.
9. _________ What is the shape of the distribution?
10. Toughie: On one evening I ran in lane 2 (422 meters actual length) and on the second evening I ran in lane 6 (454 meters actual length). Given that I ran at the same pace each evening, does the shape of the histogram show evidence of running in two different laps?

What is that evidence?