2012 5k Runtime
Rotary club 28.0
Women & sport28.9
COM-FSM 33.7
Olympic day 29.1
Montreal protocol27.9
Xavier 29.9
Micare 28.3

# t3 sc3 10.1 sc3 Name:

The data is my time in minutes for 5k runs this year. Use the data in the second column for this statistical analysis.

1. __________ Calculate the sample size n.
2. __________ Calculate the minimum (quartile 0).
3. __________ Calculate the first quartile (Q1).
4. __________ Calculate the median (quartile 2).
5. __________ Calculate the third quartile (Q3).
6. __________ Calculate the maximum (quartile 4).
7. __________ Calculate the Inter-Quartile Range (IQR).
8. __________ Calculate 1.5 × IQR.
9. __________ Calculate Q1 − 1.5 × IQR.
10. __________ Calculate Q3 + 1.5 × IQR.
11. Sketch the box plot for the data on the provided chart.
12. __________ Calculate the range.
13. __________ Calculate the mode.
14. __________ Calculate the mean.
15. __________ Calculate the sample standard deviation sx.
16. __________ Calculate the standard error SE of the sample mean.
17. __________ Calculate the degrees of freedom.
18. __________ Calculate t-critical for a 95% confidence level.
19. __________ Calculate the margin of error E of the sample mean.
20. Calculate the 95% confidence interval for the population mean μ
p(__________ < μ < __________) = 0.95
21. __________ Ten years ago my mean 5k time was 28.3 minutes. Is 28.3 minutes a possible population mean μ for my 2012 five kilometer run times?
22. If 28.3 minutes is within the confidence interval for my 2012 five kilometer run times, then my times have not changed significantly. I have neither slowed down nor sped up. If 28.3 minutes is not within the confidence interval, then my time has changed by a statistically significant amount. Which is the case, is my 2012 mean 5k time faster, slower, or statistically the same as ten years ago?
5k Rundatetime
Rotary 09/18/199926.5
COM-FSM03/25/200025.9
Olympic torch run05/20/200027.0
Olympic 5k06/17/200025.9
Our Lady of Mercy10/21/200027.2
Tuberculosis run03/21/200233.3
PATS04/20/200232.4

Average five kilometer time of ten years ago: 28.3