2. Using the information listed below, explore the educational attainment of GSS

Question

2. Using the information listed below, explore the educational attainment of GSS 2014 respondents.

Calculate the IQR for both groups. What do the IQRs reveal about the degree diversity for males and females?

What is the limitation to applying IQR to ordinal data?

Highest Educational Degree Less than high school Male Frequency/% 56 Female Frequency/% 84 10.7% 12.8% High school graduate 267 316 609% 48.3% Junior college 28 61 93% 120 18.3% 73 11.2% 53% Bachelor's dearee 106 20.2% 68 13.0% Graduate degree Total 525 654 100%

Explanation / Answer

Solution:

Used R software:

created vectors male and female

male <- c(56,267,28,106,68)
female <- c(84,316,61,120,73)

obtained five num summary

fivenum(male)

output:

28 56 68 106 267

so minimum value=28

first quartile=Q1=56

median=68

third quanrtile=Q3=106

Maximum value=267

Interquartile range for males=Q3-Q1=106-56=50

For Females:
fivenum(female)

Output:

61 73 84 120 316

MIin value=61

Q1=73

median=84

Q3=120

max value=316

Interquartile range for females=Q3-Q1=120-73

IQR =47

IQR for males is higher than IQR for females

50>47

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