Chapter 3 Review Sheet:
Provide a statistical analysis (include the variance) of the following data values:
1)
68
76
58
72
64
35
87
36
48
57
63
95
2)
73
49
87
49
82
37
48
97
32
89
47
92
*** Go over the discussion questions on mean, median, mode!
For each of the following calculate a 5% and 10% trimmed mean:
3)
734
973
982
249
734
887
910
748
279
329
837
728
498
389
027
289
439
749
083
740
4)
789
319
902
098
479
471
749
473
123
984
072
905
077
780
947
783
489
327
878
073
829
590
472
327
437
983
498
957
749
203
930
102
947
275
749
029
932
072
374
075
Complete the tables below and calculate the following:
5)
x
x - x bar
(x - x bar)2
12
15
13
10
7
Σx =
Σ(x - x bar) =
Σ(x - x bar)2 =
range = ______
variance = _____
s = _____
6) Use the computation formula to calculate the range, variance, and standard deviation.
x2
x
7
6
3
5
4
7
Σ=
Σ=
7) The recent prices of SFP stock are indicated:
59.9 60.2 51.3 66.6 55.2 62.3
54.3
55.4
56.2
57.3
57.2
49.5
55.5
56.0
a) Calculate the range, mode, and median
a) Calculate the sample mean and sample standard deviation.
b) Calculate the population mean and population standard deviation.
8) Terrier and SFP are two stocks traded on the New York Stock Exchange. For the past seven
weeks you recorded the Friday closing price (dollars per share):
Terrier:
SFP:
32
51
35
55
34
56
36
52
31
55
39
52
41
57
a) Compute the coefficient of variation for both Terrier and SFP. Compare the
results and explain the meaning of these numbers.
9) Using the following data value, answer the questions which follow:
47
46
48
46
47
46
45
47
43
48
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.
10) Complete the chart and calculate the mean, variance and standard deviation:
x
1
2
3
4
5
f
45
42
41
42
45
Σ=
xf
x – x bar
(x – x bar)2
Σ=
(x – x bar)2f
Σ=
11) Complete the chart and calculate the mean, variance and standard deviation:
Interval/Class
70 - 74
65 – 69
60 – 64
55 – 59
50 – 54
f
34
37
54
52
53
Σ=
xf
Σ=
x – x bar
(x – x bar)2
(x – x bar)2f
Σ=
12) Your grade in drama class will be based on the following: attendance (5%), exams (10%),
participation (15%), acting (25%), performance (30%), and midterm paper (15%). You receive
the following grades in each category: attendance – 100, exams – 65, participation – 87, acting –
76, performance – 83, and midterm paper – 89. What is tour final grade?
13) Use the following values to calculate a five-number summary:
72
38
45
99
81
27
58
97
34
79
84
37
85
92
37
49
25
73
92
75
98
27
48
93
24
75
98
a) Construct a box-and-whisker plot to display the data.
b) Calculate the IQR.
97
42
37
94
95
49
35
73
57