1. Look at “Table 3” attached. These data come from a recent publication on the number of misogynistic tweets and its relationship to various factors of gender inequality (Blake et al., 2021). Answer the following questions:a. Treating the number of domestic violence arrests at Time 2 as a population of data, which is the more appropriate measure of central tendency, the mean or the median? Why?b. Knowing that a value is statistical unusual if it is greater than 2 SDs from its mean, what is the smallest possible number of alcohol outlets that would be significantly more than the mean for this dataset at Time 1?c. Assume that median income is normally distributed and that this sample represents the population. What range of income data includes 95% of all data? Table 3. Descriptive Statistics for Study VariablesTime 1Time 2VariableMSDMdnMin.Маxх.SDMdnMin.Мах.Domestic-violence80.92148.58291,28781.53144.63301,239arrests (N)69Misogynistic tweets(N)3.249.5811121.936.04Population (N)569,009 1,329,341174,487 54,52254,080521,023 1,085,780206.0413,131,4313,54413,378,391171,5553,41596%Alcohol outlets (N)58.10200.7715158.88151White81%13%85%17%81%1384%17%97%GI education47%47%47%53%64%47%55%65%2%39%2%33%GI employment53%2%52%45%53%2%52%45%GI health48%1%48%44%52%48%1%48%45%52%GI income57%4%57%36%75%57%4%57%45%72%45%56%Gini coefficient3%45%38%55%45%3%45%38%55%College educatedMedian age (years)9%55%29%82%56%9%56%30%80%38.464.8438.4024.6065.5038.364.8038.4024.4066.00Median income$29,011$6,592$28,150 $10,465$61,968$28,634$6,302$27,853 $12,327$60,076Note: Population and alcohol outlets are presented untransformed for ease of interpretation. GI = gender inequality.

Name: 1. Look at “Table 3” attached. These data come from a recent pub
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Description: 1. Look at “Table 3” attached. These data come from a recent publication on the number of misogynistic tweets and its relationship to various factors of gender inequality (Blake et al., 2021). Answer the following questions:a. Treating the num

Answered: 1. Look at “Table 3” attached.…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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1. Look at “Table 3” attached. These data come from a recent publication on the number of misogynistic tweets and its relationship to various factors of gender inequality (Blake et al., 2021). Answer the following questions:

a. Treating the number of domestic violence arrests at Time 2 as a population of data, which is the more appropriate measure of central tendency, the mean or the median? Why?

b. Knowing that a value is statistical unusual if it is greater than 2 SDs from its mean, what is the smallest possible number of alcohol outlets that would be significantly more than the mean for this dataset at Time 1?

c. Assume that median income is normally distributed and that this sample represents the population. What range of income data includes 95% of all data?

Table 3. Descriptive Statistics for Study Variables
Time 1
Time 2
Variable
M
SD
Mdn
Min.
Маxх.
SD
Mdn
Min.
Мах.
Domestic-violence
80.92
148.58
29
1,287
81.53
144.63
30
1,239
arrests (N)
69
Misogynistic tweets
(N)
3.24
9.58
1
112
1.93
6.04
Population (N)
569,009 1,329,341
174,487 54,522
54,080
521,023 1,085,780
206.04
13,131,431
3,544
13,378,391
171,555
3,415
96%
Alcohol outlets (N)
58.10
200.77
15
1
58.88
15
1
White
81%
13%
85%
17%
81%
13
84%
17%
97%
GI education
47%
47%
47%
53%
64%
47%
55%
65%
2%
39%
2%
33%
GI employment
53%
2%
52%
45%
53%
2%
52%
45%
GI health
48%
1%
48%
44%
52%
48%
1%
48%
45%
52%
GI income
57%
4%
57%
36%
75%
57%
4%
57%
45%
72%
45%
56%
Gini coefficient
3%
45%
38%
55%
45%
3%
45%
38%
55%
College educated
Median age (years)
9%
55%
29%
82%
56%
9%
56%
30%
80%
38.46
4.84
38.40
24.60
65.50
38.36
4.80
38.40
24.40
66.00
Median income
$29,011
$6,592
$28,150 $10,465
$61,968
$28,634
$6,302
$27,853 $12,327
$60,076
Note: Population and alcohol outlets are presented untransformed for ease of interpretation. GI = gender inequality.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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