File: Gambling. The accompanying table shows a portion of the number of cases of crime related to gambling (Gambling) and offenses against the family and children (Family Abuse) for the 50 states in the United States during 2010. State Gambling Family Abuse Alabama 47 1022 Alaska 10 315 Wyoming0 194 Determine the 5 summary values and construct a boxplot for gambling. Use it to identify outliers, if any. а. b. Determine the 5 summary values and construct a boxplot for abuse. Use it to identify outliers, if any.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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Note: A couple of states were excluded because of incomplete data.
State
Gambling Family Abuse
1022
ALABAMA
47
ALASKA
10
315
ARIZONA
268
2336
ARKANSAS
10
85
CALIFORNIA
497
246
COLORADO
4
3057
CONNECTICUT
31
1519
DELAWARE
12
187
GEORGIA
585
4421
HAWAII
38
26
IDAHO
756
ILLINOIS
3059
377
INDIANA
18
1428
IOWA
8
947
KANSAS
232
KENTUCKY
15
3630
LOUISIANA
61
1092
MAINE
2
107
MARYLAND
240
2064
MASSACHUSETTS 15
2134
MICHIGAN
118
2774
MINNESOTA
MISSISSIPPI
19
664
126
3480
MISSOURI
99
4138
ΜΟΝΤΑΝΑ
347
NEBRASKA
10
1386
NEVADA
19
1327
NEW HAMPSHIRE 5
178
NEW JERSEY
106
13284
NEW MEXICO
37
1351
NEW YORK
147
623
NORTH CAROLINA 81
6577
NORTH DAKOTA
113
OHIO
45
4172
OKLAHOMA
46
895
OREGON
468
PENNSYLVANIA
139
1206
RHODE ISLAND
0
101
SOUTH CAROLINA 321
1136
SOUTH DAKOTA
254
TENNESSEE
408
2359
ΤΕXAS
624
5414
1562
UTAH
VERMONT
293
VIRGINIA
78
2072
WASHINGTON
7.
562
WEST VIRGINIA
10
87
WISCONSIN
165
2215
WYOMING
194"
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МАТН
• STATISTICS
File: Gambling. The accompanying table shows a portion of the
number of cases of crime related to gambling (Gambling) and
offenses against the family and children (Family Abuse) for the
50 states in the United States during 2010.
State
Gambling
Family Abuse
Alabama 47
1022
Alaska
10
315
...
Wyoming0
194
а.
Determine the 5 summary values and construct a boxplot
for gambling. Use it to identify outliers, if any.
b.
Determine the 5 summary values and construct a boxplot
for abuse. Use it to identify outliers, if any.
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