2. Consider the following dataset (10 points): Political Gender Age Income Affil
ID: 3313284 • Letter: 2
Question
2. Consider the following dataset (10 points): Political Gender Age Income Affilation Ed. Level Record 1 Record 2 Record 3 Record 4 Record 5 Record 6 Record 7 0 54 65 67 23 36 42 0 0 0 Record & 19 32 Record 9 Record 10l 1 Note: For Gender 0 female, 1 male; For Income 1-low, 2 = median, 3 = high For Political Affiliation 1 Democrat, 2 Republican 81 For Ed. Level 1- high school, 2 -college, 3 graduate degree a. For each variable, calculate the appropriate measure of central tendency b. In no more than 150 words, provide a statistical summary (report) of th data for 10 records measured on the 5 variablesExplanation / Answer
Solution:
Part a
For the given five variables, measures for central tendencies are given as below:
Gender
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
Female
5
50.0
50.0
50.0
Male
5
50.0
50.0
100.0
Total
10
100.0
100.0
Mode for the variable gender is not exists as female and male have same frequency.
Income
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
Low
3
30.0
30.0
30.0
Medium
4
40.0
40.0
70.0
High
3
30.0
30.0
100.0
Total
10
100.0
100.0
Mode = Medium income
Political Affiliation
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
Democrat
5
50.0
50.0
50.0
Republican
5
50.0
50.0
100.0
Total
10
100.0
100.0
Mode not exists as democrat and republican have same frequencies.
Education level
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
High School
3
30.0
30.0
30.0
College
3
30.0
30.0
60.0
Graduate Degree
4
40.0
40.0
100.0
Total
10
100.0
100.0
Mode = Graduate degree
Descriptive Statistics
N
Minimum
Maximum
Mean
Std. Deviation
Age
10
19.00
81.00
45.2000
20.61176
Valid N (listwise)
10
Mean = 45.20
Part b
For the given variables, we have to find the appropriate measures of central tendency. The variables gender and political affiliation have nominal level of measurements. The variables income and education level have ordinal level of measurements. The variable age have ratio level of measurements. For the variable, appropriate measure of central tendency is mean. For ordinal variables, appropriate measure of central tendency is mode. The appropriate measure for nominal variables is also mode. Mode for the variable gender is not exists as female and male have same frequency. Mode for the variable income is given as medium income because medium income has highest frequency as compared to low or high income. Mode for the variable political affiliation is not exists because democrat and republican have same frequencies. Mode for the variable education level is given as graduate degree because graduate degree has frequency more than high school education or college education. The mean for the variable age is given as 45.20.
Gender
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
Female
5
50.0
50.0
50.0
Male
5
50.0
50.0
100.0
Total
10
100.0
100.0
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