SUNY at Stony Brook Statistics Statement Review Worksheet

EXAM # 1 REVIEW100 PTSChapter 1
➢ Identification of 2 statements as examples of nominal, ordinal,
discrete, or continuous variables.
➢ Select twenty employees currently working at a local supermarket and
collect data for the Following four variables:
W: Marital status
X: number of children they have
Y: total cost of cloth and toys they spend every year for their children
Z: method of payment used for purchasing cloth and toys – Classify the three
variables as nominal, ordinal, discrete, or continuous.
Chapter 2
Pareto Diagram picturing the “Presents not wanted”.
➢ What not to get them on Valentines Day! A recent study among adults in
USA shows that adults prefer not to receive certain items as gifts on
Valentine’s Day as shown below:
Teddy bears: 5%; Chocolate: 25%; Jewelry: 15%; Flowers: 12%; Don’t
Know: 3%.
➢ The final-inspection defect report for an assembly line is reported on the
table and Pareto diagram as shown below:
Defect
Count
Blemish Scratch Chip Bend Dent Others
61
50
28
17
13
11
a) What is the total defect count in the report?
b) Find the percentage for “chip” defect items.
c) Find the “cum % for bend”, and explain what that value means.
➢ The ages of 50 students who are attending a community college in Iowa
are shown below:
20
18
21
19
21
20
21
19
20
19
19
19
22
21
21
21
18
19
22
21
21
22
18
21
19
22
21
20
20
19
1
19
24
23
22
20
19
20
19
20
19
21
24
19
21
19
19
17
20
20
19
You need to know how to prepare an ungrouped frequency distribution of
these ages and an ungrouped relative frequency distribution of the same
data.
➢ You must know how to calculate sample mean, how to find the variance
and the standard deviation
➢ The points scored by the winning teams on opening night of a recent NBA
season are shown in the table below:
Team Detroit Dallas Chicago
Score
90
110
92
Please practice on how to draw a bar graph of these scores using a vertical
scale ranging from 80 to 120.
➢ Below are the ACT scores attained by the 11 members of a local high
school graduating class.
23 26
25
19
33
21
21
22
21
27 28
Practice drawing a dot plot of the ACT scores.
FIND THE MEAN, FIND THE MODE, FIND THE MEDIAN & FIND THE
MID RANGE
Chapter 3
➢ Consider the following bivariate data, extensions, and totals:
x
2
3
4
5
5
7
7
33
y
14
13
11
8
9
4
3
62
4
9
16
25
25
49
49
177
xy
28
39
44
40
45
28
21
245
196
169
121
64
81
16
9
656
2
.A- Find SS(x).
B- Find SS(y).
C-Find SS(xy). (
➢ What does the value of r tell you?
➢ Explain the meaning of the y-intercept. Explain the meaning of the
slope.
3
Student Push-ups
(X)
1
27
2
22
3
15
4
35
5
30
6
52
7
35
8
55
9
40
10
40
Sum
351
∑X =351
X2
729
484
225
1225
900
2704
1225
3025
1600
1600
Sit-ups
(Y)
30
26
25
42
38
40
32
54
50
43
13717
380
∑X2=13717 ∑Y=380
Y2
XY
900
676
625
1764
1444
1600
1024
2916
2500
1849
810
572
375
1470
1140
2080
1120
2970
2000
1720
15298
14257
∑Y2=15298 ∑XY =14257
3,34
3,35
3,38
3,5
3,55
3,6
3,69
3,81
3,89
3,91
3,92
3,95
3,95
3,99
4,07
4,11
4,24
4,27
4,3
4,35
4,43
4,51
4,54
4,56
4,64
4,71
4,74
4,75
4,83
4,84
4,88
4,88
4,89
4,95
4,95
4,97
4,99
5,05
5,06
5,1
Min
Max
Range
No of classes
3,34
5,1
1,76
8
Class width
0,22
Frequency distribution
Bin
3,34
3,56
3,78
4
4,22
4,44
4,66
4,88
5,1
More
Bin range
3,34-3,56
3,56-3,78
3,78-4
4-4,22
4,22-4,44
4,44-4,66
4,66-4,88
4,88-5,1
5,1-More
Mid point
3,45
3,67
3,89
4,11
4,33
4,55
4,77
4,99
Frequency
5
2
7
2
5
4
5
9
1
40
bin range
3,34
3,56
3,78
4,00
4,22
4,44
4,66
4,88
5,10
More
Relative frequency
0,125
0,05
0,175
0,05
0,125
0,1
0,125
0,225
0,025
1
Cumulative %
12,50%
17,50%
35,00%
40,00%
52,50%
62,50%
75,00%
97,50%
100,00%
Bin range
3,34-3,56
3,56-3,78
3,78-4
4-4,22
4,22-4,44
4,44-4,66
4,66-4,88
4,88-5,1
5,1-More
Frequency
5
2
7
2
5
4
5
9
1