Quarter 2 Exam Review Sheet:
1)
87
78
2)
58
86
97
89
79
88
97
78
97
87
68
67
87
98
79
77
89
78
97
56
a) Construct a stem-and-leaf plot to display the data.
b) Construct a stem-and-leaf plot using multiple lines per stem.
76
87
56
67
38
67
96
78
56
92
62
57
87
67
84
68
76
56
96
59
68
45
a) Complete the chart below and construct an ogive to display the data.
(Hint: Use 4 classes!!!)
Class
Class
Boundaries
Tally
Frequency
Cumulative
Frequency
Σ=
3)
54
23
73
86
57
86
78
38
76
78
a) Median = ______
b) Mode = ______
c) Mean = _____
45
36
4)
56
46
24
79
74
36
38
75
89
89
74
35
32
51
37
85
77
63
87
77
38
92
73
78
a) 5% Trimmed Mean = _____
89
76
24
65
86
46
Trimmed Mean:
5% = _____
10% = _____
66
54
78
76
96
78
32
61
46
57
89
43
68
93
48
43
78
b) 10% Trimmed Mean = _____
5) What is the computation formula for standard deviation?
6) Based on the following data values:
21
34
32
44
12
31
a) Complete the table below:
b) Variance = _____
c) Standard Deviation = _____
x
38
x2
Σ=
7) What is the formula for coefficient of variation given sample data?
8) What is the formula for coefficient of variation given population data?
9) For the following data (sample data) calculate the coefficient of variation:
78
87
78
59
78
75
78
10)
72
77
77
75
77
71
76
76
a) Sample Mean = _____
b) Standard Deviation = _____
c) Use Chebyshev’s Theorem to find an interval centered about the mean
in which you would expect 93.8% of the data to fall.
d) Use Chebyshev’s Theorem to find an interval centered about the mean
in which you would expect 99% of the data to fall.
e) Use Chebyshev’s Theorem to find an interval centered about the mean
in which you would expect 75% of the data to fall.
11) What is the formula for sample mean of a frequency distribution (grouped data)?
12) What is the formula for sample standard deviation of a frequency distribution?
13)
Class
0 - 50
51 - 100
101 - 150
151 - 200
f
111
164
152
147
Σ=
x
xf
64
(x - x bar)2
Σ=
a) Sample Mean = ___________
14)
x - x bar
(x - x bar)2f
Σ=
b) Sample Standard Deviation = ________
78
54
67
87
56
85
62
36
73
27
a) Median Rank = _____
b) Median = _____
c) 1st quartile = _____
d) 3rd quartile = _____
e) Largest Value = _____
f) Smallest Value = _____
g) IQR = _____ h) Construct a box-&-whisker plot to display the data.
15) Based on the following chart, calculate the weighted average:
Category
Weight
Attendance
5
Class Participation
15
Homework
25
Tests
35
Quizzes
20
Grade
85
98
45
76
65