Suppose you are using a sample from the 2010 GSS data for a research project on education in the United States. The GSS includes a question that asks for the number of years of education. Based on 775 individuals, the GSS reports the following frequency distribution for years education.

Years of Education Frequency
0 2
2 2
3 1
4 4
5 2
6 8
7 7
8 15
9 23
10 33
11 38
12 207
13 58
14 102
15 33
16 127
17 30
18 36
19 17
20 30
a. What is the level of measurementof years of education?
b. Construct a frequency table, with cumulative percentages, for years of education
c. How many respondents have 8 or fewer years of education? What percentage of the sample does this value represent?
d. Suppose that you are really more interested in the general level of education than in hte raw number of years of education, so you would like to group the data into four categories that better reflects your interests. Assume that anyone with 12 years of education is a high school graduate, and that anyone with 16 years of education is a college graduate. Conduct a cumulative frequency table for education in four categories based on these assumptions. What percentage of the sample has graduated from college? What percentage of the sample has not graduated from high school?