# sd1 t01 3.4 08 February 2013 Name:

Part I. Nominal level data section
Engrade administrative module has a dashboard that reports on the performance levels for 340 of the students in 19 courses using Engrade. The following data comes from that dashboard.

Performance levelNumber of students
Succeeding116
Struggling111
Failing113
1. n = __________ What is the sample size n?
2. mode = ____________________ What is the mode?

Part II. Ratio level data section
Data in this section is the number of seconds for swimmers to swim the length of the pool in Nan Pepper on afternoon.

lap time (s)
52
51
51
51
55
48
48
46
76
66
70
73
66
59
56
49
1. n= __________ Calculate the sample size n.
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 this time data.
9. x = __________ Calculate the sample mean x.
10. mode = __________ Calculate the mode.
11. sx = __________ Calculate the sample standard deviation sx.
12. CV = __________ Calculate the sample coeficient of variation CV.
13. z = __________ Calculate the z-score for 76 seconds.
14. range = __________ Calculate the range.
15. width = __________ If the time data is divided into five classes, what is the width of a single class?
16. Determine the frequency and calculate the relative frequency for the data. Record your results in the table provided.
Class upper limitsFrequency FRel. Freq.
Sums:
17. Sketch a frequency histogram for the data, labeling your horizontal axis and vertical axis as appropriate.
18. What is the shape of the histogram?