Define, interpret, and execute the following statistics and charts:
???Descriptive Statistics (Mean, Std. Dev.)
???Histogram
???Boxplot
???Scatterplot
ENGINEERING PROBABILITY & STATISTICS
3 Credit Hours, Fall 2022
Descriptive Statistics and Plots Assignment
OBJECTIVES
By the end of this assignment, you should be able to
1. Utilize descriptive statistics and plots on data using Excel
2. Perform exploratory analysis on an unknown dataset using descriptive statistics
and plots to derive conclusions on dataset.
Deliverables
The deliverables should be uploaded to Blackboard by end of class period.
• A Word Document with the analysis of the dataset which includes the following:
o Descriptive Statistics and plots of data
o Interpretations and conclusions for all statistics and plots
o Overall conclusions
INTRODUCTION
Engineers use statistical software to assist in the laborious and extensive calculations. The
statistical packages can easily create a wide variety of graphs to display your data. This
laboratory exercise is designed to enhance your skills and develop your ability to explore
an unknown dataset and present your statistical results using Excel.
Procedure
You will perform analysis on a census dataset called state.x77 which is located on
blackboard.
1. Create a histogram using one of the continuous data columns of the worksheet.
a. Choose a suitable number of bins to represent the variation in the data. The
plot should be formatted and labeled appropriately.
b. Provide interpretations for the plot.
2. Calculate the following descriptive statistics for the population data for each of the
regions.
a. Mean, Median, and Mode
b. Variance, Standard Deviation, and Range
3. Create a BoxPlot to compare population data for the different regions in the United
States.
a. The plot should be formatted and labeled appropriately.
b. Provide interpretations for the plot.
4. Compare and contrast the different regions. Be sure to discuss the variation for each
region.
state.x77: a dataset (matrix) with 50 rows and 8 columns giving the following statistics in
the respective columns.
State: list of states in alphabetical order
Population: population estimate as of July 1, 1975
Region: regional location of state
Income: per capita income (1974)
Illiteracy: illiteracy (1970, percent of population)
Life Exp: life expectancy in years (1969–71)
Murder: murder and non-negligent manslaughter rate per 100,000 population (1976)
HS Grad: percent high-school graduates (1970)
Frost: mean days with minimum temperature below freezing (1931–60) in capital or large
city
Area: land area in square miles
A Subset of the Census data
State
Alabama
Alaska
Arizona
Arkansas
California
Colorado
Connecticut
Region
South
West
West
South
West
West
East
Population Income Illiteracy Life Exp Murder HS Grad Frost Area
3615
3624
2.1 69.05
15.1
41.3
20 50708
365
6315
1.5 69.31
11.3
66.7 152 566432
2212
4530
1.8 70.55
7.8
58.1
15 113417
2110
3378
1.9 70.66
10.1
39.9
65 51945
21198
5114
1.1 71.71
10.3
62.6
20 156361
2541
4884
0.7 72.06
6.8
63.9 166 103766
3100
5348
1.1 72.48
3.1
56 139 4862
State
Alabama
Alaska
Arizona
Arkansas
California
Colorado
Connecticut
Delaware
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
Rhode Island
South Carolina
South Dakota
Tennessee
Texas
Utah
Vermont
Virginia
Region
South
West
West
South
West
West
East
East
South
South
West
West
North
North
North
West
East
South
East
East
East
North
North
South
West
West
West
West
East
East
West
East
South
North
North
West
West
East
East
South
North
South
South
West
East
East
Population Income Illiteracy Life Exp Murder HS Grad Frost Area
3615
3624
2,1 69,05
15,1
41,3
20 50708
365
6315
1,5 69,31
11,3
66,7 152 566432
2212
4530
1,8 70,55
7,8
58,1
15 113417
2110
3378
1,9 70,66
10,1
39,9
65 51945
21198
5114
1,1 71,71
10,3
62,6
20 156361
2541
4884
0,7 72,06
6,8
63,9 166 103766
3100
5348
1,1 72,48
3,1
56 139 4862
579
4809
0,9 70,06
6,2
54,6 103 1982
8277
4815
1,3 70,66
10,7
52,6
11 54090
4931
4091
2 68,54
13,9
40,6
60 58073
868
4963
1,9
73,6
6,2
61,9
0 6425
813
4119
0,6 71,87
5,3
59,5 126 82677
11197
5107
0,9 70,14
10,3
52,6 127 55748
5313
4458
0,7 70,88
7,1
52,9 122 36097
2861
4628
0,5 72,56
2,3
59 140 55941
2280
4669
0,6 72,58
4,5
59,9 114 81787
3387
3712
1,6
70,1
10,6
38,5
95 39650
3806
3545
2,8 68,76
13,2
42,2
12 44930
1058
3694
0,7 70,39
2,7
54,7 161 30920
4122
5299
0,9 70,22
8,5
52,3 101 9891
5814
4755
1,1 71,83
3,3
58,5 103 7826
9111
4751
0,9 70,63
11,1
52,8 125 56817
3921
4675
0,6 72,96
2,3
57,6 160 79289
2341
3098
2,4 68,09
12,5
41
50 47296
4767
4254
0,8 70,69
9,3
48,8 108 68995
746
4347
0,6 70,56
5
59,2 155 145587
1544
4508
0,6
72,6
2,9
59,3 139 76483
590
5149
0,5 69,03
11,5
65,2 188 109889
812
4281
0,7 71,23
3,3
57,6 174 9027
7333
5237
1,1 70,93
5,2
52,5 115 7521
1144
3601
2,2 70,32
9,7
55,2 120 121412
18076
4903
1,4 70,55
10,9
52,7
82 47831
5441
3875
1,8 69,21
11,1
38,5
80 48798
637
5087
0,8 72,78
1,4
50,3 186 69273
10735
4561
0,8 70,82
7,4
53,2 124 40975
2715
3983
1,1 71,42
6,4
51,6
82 68782
2284
4660
0,6 72,13
4,2
60
44 96184
11860
4449
1 70,43
6,1
50,2 126 44966
931
4558
1,3
71,9
2,4
46,4 127 1049
2816
3635
2,3 67,96
11,6
37,8
65 30225
681
4167
0,5 72,08
1,7
53,3 172 75955
4173
3821
1,7 70,11
11
41,8
70 41328
12237
4188
2,2
70,9
12,2
47,4
35 262134
1203
4022
0,6
72,9
4,5
67,3 137 82096
472
3907
0,6 71,64
5,5
57,1 168 9267
4981
4701
1,4 70,08
9,5
47,8
85 39780
Washington
West
3559
4864
0,6
71,72
4,3
63,5
32
6657
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