MATH 185 - Elementary Stats I
Name___________________________________
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HW #2
Date________________
Find the median, mean, and sample standard deviation for each data set. (Each worth 6 points)
1)
Test Scores
38
43
44
44
50
50
50
53
48
2) Educational Attainment by US State
48
3)
State
% Bachelor's Degree
Tennessee
23
Vermont
33.1
Delaware
28.7
Virginia
34
Michigan
24.6
Louisiana
21.4
Massachusetts
38.2
Oregon
29.2
Pennsylvania
26.4
Average Time to Maturity
Plant
Days
Radish
22
Kale
60
Swiss Chard 60
Soy Bean
70
4)
49
Plant
Days
Carrots
70
Bell Pepper
75
Sugar Baby Watermelon 75
Honeydew
80
Plant
Days
Red Potato
80
Beefsteak Tomato
80
Seedless Watermelon 85
Radicchio
90
Plant
Celery
Tomatillo
Parsnip
Horseradish
Days
95
100
105
150
Annual Precipitation (Inches)
34.8
51.6
31
44.6
48.8
56.8
57.6
68.2
11.6
34.4
5.6
17
31.4
15.8
69.4
5)
Birth Rate
Country
Births/woman
Country
Births/woman
Country
Births/woman
Lithuania
Germany
1.29
1.43
Uruguay
Sweden
1.84
1.88
Laos
Vanuatu
2.9
3.36
Bulgaria
Cuba
1.44
1.46
Qatar
Mongolia
1.92
2.22
Togo
Rwanda
4.53
4.62
San Marino
Brazil
1.49
1.69
United Arab Emirates
Malaysia
2.36
2.58
São Tomé and Príncipe
Liberia
4.67
4.81
Lebanon
St. Kitts & Nevis
1.74
1.78
Algeria
Honduras
2.78
2.86
Mali
6.16
Worksheet by Kuta Software LLC
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6)
Minutes to Run 5km
28
26.9
22.4
31.8
34.6
43.5
25.9
41.8
28.3
28.1
42.2
22
30.7
41.6
29.7
26.5
36.6
19.9
27.4
32
43.7
40.6
37.7
Comparing Coefficient of Variation. (Worth 2 points)
7) If the Coefficient of Variation for an English
test is 6.9%, and the CVar for a history test
is 4.9%, compare the variations. (In other
words which has more variation)
Find the coefficient of variation. (Each worth 2 points)
8) The average IQ of the students in on
statistics class is 110, with a standard
deviation of 5; the average IQ of students in
another class is 106, with a standard
deviation of 4. Which class is more variable
in terms of IQ?
9) The average age of the accountants at Three
Rivers Corp. is 26, with a standard deviation
of 6; the average salary of the accountants is
$31,000, with a standard deviation of
$4000. Compare the variations of age and
income.
Find the coefficient of of variation for each of the two sets of data, then compare the variation.
(Worth 6 points)
10) CUSTOMER WAITING TIMES Waiting times (in minutes) of customers at the Jefferson Valley
Bank (where all customers enter a single waiting line) and the Bank of the Providence (where
customers wait in individual lines at three different teller windows) are listed below.
Jefferson Valley (single line): 6.5 6.6 6.7 6.8 7.1 7.3 7.4 7.7 7.7 7.7
Providence (individual lines): 4.2 5.4 5.8 6.2 6.7 7.7 7.7 8.5 9.3 10.0
Worksheet by Kuta Software LLC
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1) (9 points) Below are the heights of children and their parents.
Gender
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
Mother's
Height
66
58
68
64
62
66
63
65
64
64
62
62
67
63
66
65
71
63
64
60
65
67
59
60
58
72
63
67
62
63
64
63
64
60
65
Father's
Height
70
69
71
68
66
74
73
69
67
68
72
72
68
71
67
71
75
64
67
72
72
72
67
71
66
75
69
70
69
66
76
69
68
66
68
Offspring's
Height
62,5
64,6
73,9
67,1
64,4
71,1
71
69,3
64,9
68,1
66,5
66,5
70,3
67,5
68,5
71,9
67,8
58,6
65,3
61
65,4
67,4
60,9
63,1
60
71,1
62,2
67,2
63,4
62,2
64,7
59,6
61
64
65,4
a) Calculate the mean and median
of the mother's height.
b) Calculate the mean and median
of the father's height.
c) Calculate the mean and median
of the offspring's height.
2) (9 points) Below are the heights of children and their parents.
Gender
M
M
M
F
F
Mother's
Height
66
64
69
67
69
Father's
Height
64
62
66
65
62
Offspring's
Height
69,1
67,4
67,5
64,7
68,4
a) Calculate the mean and median of the mother's height.
b) Calculate the mean and median of the father's height.
c) Calculate the mean and median of the offspring's height.
3) (4 points) Based on your calculations what kind of observations did you make?
4) (10 points) Median Household Income By State
State
Alabama
Alaska
Arizona
Arkansas
California
Colorado
Connecticut
Delaware
District of Columbia
Florida
Georgia
Hawaii
Idaho
Illinois
Indiana
Iowa
Kansas
Kentucky
Louisiana
Maine
Maryland
Massachusetts
Michigan
Minnesota
Mississippi
Missouri
Montana
Nebraska
Nevada
New Hampshire
New Jersey
New Mexico
New York
North Carolina
North Dakota
Ohio
Oklahoma
Oregon
Pennsylvania
Puerto Rico
Rhode Island
South Carolina
South Dakota
Tennessee
Income
43.623
72.515
50.255
41.371
61.818
60.629
70.331
60.509
70.848
47.507
49.620
69.515
47.583
57.574
49.255
53.183
52.205
43.740
45.047
49.331
74.551
68.563
49.576
61.492
39.665
48.173
47.169
52.997
51.847
66.779
72.093
44.963
59.269
46.868
57.181
49.429
46.879
51.243
53.599
19.350
56.852
45.483
50.957
45.219
a) Construct a grouped frequency distribution using
eight classes.
b) Construct a histogram. Does the data resemble
a normal distribution?
Texas
Utah
Vermont
Virginia
Washington
West Virginia
Wisconsin
Wyoming
53.207
60.727
55.176
65.015
61.062
41.751
53.357
58.840
5) (15 points) Below are the high temperatures of January 2017.
56
25
49
52
47
46
29
46
50
39
46
41
53
49
56
57
57
60
61
37
72
53
61
35
65
49
45
27
43
50
49
48
42
50
63
57
48
41
41
a) Find the median of the data set
b) Find the first and third quartiles of the data set.
c) Find the Interquartile Range (IQR)
d) Find the upper and lower outlier boundaries
e) List all the values, if any, that are classified as outliers.
6) (15 points) Below are the high temperatures of January 2018.
26
26
35
27
21
21
23
39
51
43
62
64
62
28
32
43
37
47
51
63
61
65
68
a) Find the median of the data set
b) Find the first and third quartiles of the data set.
c) Find the Interquartile Range (IQR)
d) Find the upper and lower outlier boundaries
e) List all the values, if any, that are classified as outliers.
7) (4 points) Draw a boxplot of each data set. Describe the distribution of each set.
8) (15 points) Below are the high temperatures of February 2017.
51
50
40
41
54
61
73
74
53
39
53
55
47
46
55
42
51
68
71
68
58
63
75
82
71
52
59
67
a) Find the median of the data set
b) Find the first and third quartiles of the data set.
c) Find the Interquartile Range (IQR)
d) Find the upper and lower outlier boundaries
e) List all the values, if any, that are classified as outliers.
9) (15 points) Below are the high temperatures of February 2018.
54
43
36
37
39
43
43
38
46
50
68
65
43
53
74
67
44
51
50
78
82
67
51
61
71
a) Find the median of the data set
b) Find the first and third quartiles of the data set.
c) Find the Interquartile Range (IQR)
d) Find the upper and lower outlier boundaries
e) List all the values, if any, that are classified as outliers.
59
62
62
10) (4 points) Draw a boxplot of each data set. Describe the distribution of each set.
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