# sd3 t02 mx 5.3 • 04 October 2013 Name:

Binky through the ages

TermLocationTime (min)
Summer 13 Valley Binky 53
Spring 13 ANR West 28
Fall 12 Haruki South 38
Summer 12 Swamp Binky 30
Spring 12 Leach field 15
Fall 11 Gym South 8
Summer 11Maintenance Binky26
Spring 11Gym South 45

The data are the time values in the third column of table one. The times are the length of time to find either Binky or Dana.

1. n= __________ Calculate the sample size n for the time.
2. Q0 = __________ Calculate the minimum (zeroth quartile).
3. Q1 = __________ Calculate the first quartile.
4. Q2 = __________ Calculate the median (second quartile).
5. Q3 = __________ Calculate the third quartile.
6. Q4 = __________ Calculate the maximum (fourth quartile).
7. IQR = __________ Calculate the Inter-Quartile Range.
8. Make a sketch of the box plot for the time data.
9. mode = __________ Calculate the mode.
10. x = __________ Calculate the sample mean x.
11. sx = __________ Calculate the sample standard deviation sx.
12. CV = __________ Calculate the sample coeficient of variation CV.
13. z = __________ Calculate the z-score for 53 minutes.
14. ______________ Is the z-score for 53 minutes an ordinary or extraordinary z-score?
15. range = __________ Calculate the range.
16. width = __________ If the time data is divided into five classes, what is the width of a single class?
17. Determine the frequency and calculate the relative frequency for the data. Record your results in the table provided.
Class upper limitsFrequency FRel. Freq.
Sums:
18. Sketch a frequency histogram for the data,
labeling your horizontal axis and vertical axis.
19. ____________________ What is the shape of the histogram?
20. __________ Based on the relative frequency data,
what is the probability of a time less than or equal to 17 minutes?

Table two
milliminutes of arcmeters
0 0
15 30
32 60
48 90
65 120
82 150
21. _________ Calculate the sample size n (the number of data pairs) for the data in table two.
22. ______________ Calculate the slope of the linear regression for the table two data.
23. ______________ Calculate the y-intercept of the linear regression for the table two data.
24. ______________ Is the relation positive, negative, or neutral?
25. ______________ Calculate the correlation coefficient r for the data.
26. ______________ Is the correlation none, weak/low, moderate, strong/high, or perfect?
27. ______________ Calculate the coefficient of determination.
28. ______________ What percent in the variation in the height explains the variation in the lap time?
29. ______________ Use the slope and intercept to predict the meters for 100 milliminutes (the system does extrapolate).
30. ______________ Use the slope and intercept to predict the milliminutes for 1000 meters.