C2. GSS 2014 and GSS 2018 respondents were asked their opinion on whether homosexualsshould have the right to marry. (The 2014 data were collected before the 2015 USSupreme Court decision granting same-sex couples the right to marry.) Responsesmeasured on a 5-point scale from strongly agree (1) to strongly disagree (5).CumulativePercentageHomosexuals Should HaveRight to Marry (2014)FrequencyPercentageStrongly agree25132.532.5Agree19525.257.5Neither agree nor disagree749.667.3Disagree9211.979.2Strongly disagree16120.8100.0Total773100.0Homosexuals Should HaveCumulativeRight to Marry (2018)FrequencyPercentagePercentageStrongly agree29339.539.5Agree20027.066.5Neither agree nor disagree709.475.9Disagree84.9679.0Strongly disagree99.911115.0Total74199.9a, What is the level of measurement for this variable?b. What is the mode for 2014? For 2018? c. Calculate the median for this variable. In general, how would you characterize thepublic's attitude about same-sex marriage? Is there a difference in attitudes betweenthe 2 years?

There are four types of level of measurement, i.e., Ratio scale: data is continuous and have a…

Answered: ould have the right to marry. (The 2014…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

C2. GSS 2014 and GSS 2018 respondents were asked their opinion on whether homosexuals
should have the right to marry. (The 2014 data were collected before the 2015 US
Supreme Court decision granting same-sex couples the right to marry.) Responses
measured on a 5-point scale from strongly agree (1) to strongly disagree (5).
Cumulative
Percentage
Homosexuals Should Have
Right to Marry (2014)
Frequency
Percentage
Strongly agree
251
32.5
32.5
Agree
195
25.2
57.5
Neither agree nor disagree
74
9.6
67.3
Disagree
92
11.9
79.2
Strongly disagree
161
20.8
100.0
Total
773
100.0
Homosexuals Should Have
Cumulative
Right to Marry (2018)
Frequency
Percentage
Percentage
Strongly agree
293
39.5
39.5
Agree
200
27.0
66.5
Neither agree nor disagree
70
9.4
75.9
Disagree
84.9
67
9.0
Strongly disagree
99.9
111
15.0
Total
741
99.9
a, What is the level of measurement for this variable?
b. What is the mode for 2014? For 2018?

c. Calculate the median for this variable. In general, how would you characterize the
public's attitude about same-sex marriage? Is there a difference in attitudes between
the 2 years?

Expert Solution

Step 1

There are four types of level of measurement, i.e.,

Ratio scale: data is continuous and have a defined and meaningful zero.
Interval scale: data lies within a defined interval and have no defined true zero.
Nominal scale: having various categories with no specific order.
Ordinal scale: having various categories with order.

Mode is the most repeated value of the given observations. It is the value that occur more frequently in the set of 'n' observations. Median is a positional average that divides the data set into two equal parts. In case of ungrouped data,

If the number of observations are odd then median is the middle value after the values have been arranged in ascending order.
When there are even number of observation, there will be two middle values and median is obtained by taking mean of these two middle values.