Lee Ling ran laps again Sunday night at the PICS track. The following are the times for each lap in decimal minutes. DeciMin 2.62 2.53 2.59 2.59 2.62 2.56 2.61 2.74 2.73 2.85 2.69 2.79 2.66 2.78 2.93 2.71 2.7 Calculate the following values for the above data. 1 sample size 2 mean 3 stdev 4 median 5 min 6 max 7 range bins 5 8 width 9. Fill in the following table and use the relative frequency to create a rel. freq. histogram chart. Pace time bins (x) Frequency: Number of laps in that bin Relative Frequency p(x) x*p(x) Sums: 10. Use the x*p(x) column to calculate the expected mean: 11. Is the expected mean the same as the mean you calculated from the original data in number 2? 12. If there is a difference between the expected and and the mean calculated from the data, why do you think the difference occurred? 13. What is the shape of the distribution? 14. Is the distribution normal? 15. Multiply the range by 60 to determine the range in seconds: 16. Multiply the standard deviation by 60 to determine the stdev in seconds: 17. Lee Ling was striving to maintain the same pace throughout the run with using the data in class in mind. Comment on how well you think Lee Ling at maintaining a constant pace.