Module 02.9 Old Exam Questions, Chapter 2 Dr. Stafford MSC 287 Revised: 08/11/04 Page 3 of 2 pages
KEY: OLD EXAMINATION QUESTIONS
Dr. Stafford, MSC 287, Spring 2001, Unit 02
Problem 1
Part I . N is given as 1000. Cumulative proportion is the same as cumulative relative frequency, so transfer this
column to CRF column. Since CRFi = CRFi-1 + ri, ri = CRFi - CRFi-1 with r1 = CRF1 . Further, fi = ri(1000) and cfi =
crfi(1000).
Number
of Shares
Cumulative
Proportion of
Shareholders Frequency Cumulative
Frequency Relative
Frequency
Cumulative
Relative
Frequency
1 - 500 0.30 300 300 .30 0.30
501 - 1000 0.65 350 650 .35 0.65
1001 - 1500 0.78 130 780 .13 0.78
1501 - 2000 0.88 100 880 .10 0.88
2001 - 2500 0.96 80 960 .08 0.96
2501 - 3000 1.00 40 1000 .04 1.00
Totals 1000 1.00
Part II
350 1 From table, 650 own 1000 or less shares, so 1000 - 650 = 350 own more than 1000 shares.
350 2 From table above, frequency of class “501-1000" = 350 shares.
0.88 3 crf(1501-2000) = 0.88.
0.10 4 r(1501-2000) = 0.10.
Problem 2
O 1 Pie chart is a pie chart, not a bar chart.
T 2 Stem-and-leaf includes data values while histogram merges them into frequency distributions.
O 3 Just the opposite – stem-and-leaf shows rank ordering.
T 4 This we emphasized thrice in class.
T 5 Just use the formulas for r, crf, f, and cf.
T 6 The tables are hard to interpret, but the diagrams show a picture of what the data is doing.
O 7 Ogive is used for cumulative distributions: cf, crf, c%f.
T 8 For k classes, sum of frequencies does equal n.
O 9 As we learned in class, there are three ways to compute crf.
T 10 Need number of classes, class widths, and the limits.
Problem 3
Class fiABC
1 D 40 N S
2 E J 0.32 T
3 F K P 0.68
4 G L 0.12 V
5 H M Q W
Total 250 R X
