Quarter 2 Exam Review Sheet:
1) Use the following values to complete the table below: (Use 5 classes!)
69
84
78
95
74
87
89
75
98
79
71
81
87
71
78
96
85
87
60
76
70
59
87
89
78
70
95
78
98
Class
Class
Boundaries
Tally
Frequency
=
=
Class
Midpoint
Cumulative
Frequency
67
98
89
58
Relative
Frequency
=
a) Construct a cumulative frequency histogram to display the data.
2) Use the following data values to construct a stem-and-leaf plot:
93
56
89
71
86
90
98
74
69
84
98
95
72
79
84
97
98
93
80
77
90
85
96
89
89
86
55
88
97
87
87
85
72
99
92
98
69
97
97
84
54
78
95
78
45
79
23
3) Use the data below to calculate a 5% and 10% trimmed mean.
67
46
56
78
95
89
78
45
87
57
78
74
64
96
97
78
90
89
43
a) 5% = ______
76
34
98
97
37
75
69
82
98
87
53
58
b) 10% = _____
4) Use the following values to answer the questions that follow:
79
58
67
49
23
79
67
39
86
a) x bar = _____
b) median = _____
d) range = _____
e) variance = _____
f) s = _____
c) mode = _____
g) σ = _____ h) x = _____ i) x2 = _____
5) Use the following data values to answer the questions which follow:
67
65
64
66
66
66
66
69
70
71
a) Use Chebyshev's Theorem to calculate the interval under which 99% of the
data will fall.
b) Use Chebyshev's Theorem to calculate the interval under which 75% of the
data will fall.
c) Use Chebyshev's Theorem to calculate the interval under which 93.8% of the
data will fall.
6) The closing prices of two stocks are recorded below:
ABC 78
78
76
75
74
78
76
76
77
DEF 54
67
57
57
65
87
56
74
54
a) Calculate the coefficient of variation for each stock.
b) If you are a conservative investor, which of the two stocks would you invest
in?
7) Judges for the annual SFP lay-up contest rank each of the following categories on a scale of 1
- 10: vertical leap, use of backboard, proper hand, and finishing ability. The weights for each of
these categories are as follows: vertical leap - 30%, use of backboard - 10%, proper hand - 5%,
and finishing ability - 55%. Steve scores the following in each of the categories: vertical leap 6, use of backboard - 8, proper hand - 7, and finishing ability - 9. What did Steve score overall?
8) Find the mean & standard deviation when given the following grouped data:
Class
x
f
xf
x - x bar
(x - xbar)2 (x - xbar)2f
11 - 15
85
16 - 20
87
21 - 25
88
26 - 30
81
=
=
=
9) Use the following values to construct a box-and-whisker plot:
73
42
98
74
98
12
13
75
79
20
79
80
43
79
85
43
69
89
23
87
95
98
17
62
89
79
37
72
57
98
43
43
39
95
97
43