There are 14 freshmen, 18 sophomores, 10 juniors. and 6 seniors enrolled in an introductoryfinance class. Answer thefollowing questions.a. What is the level of measurement for this student data?b. What percent of the students are either freshmen or sophomores?

a. Classifying students by grade year is a way of grouping them in order even though the quantitative difference between groups is unknown. This is an example of an Ordinal level of measurement.

b. There are 14 freshmen and 18 sophomore out of the 48 students. The percentage of students that are either freshmen or sophomore is:

[tex]P=\frac{14+18}{48}=66.67\%[/tex]

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MrRoyal MrRoyal · Answer 2 · 2021-12-23T12:22:16+01:00

Data can be categorized in several ways such as ordinal, nominal, interval and ratio.

The level of measurement of the student data is ordinal
The percentage of students that are either freshmen or sophomores is 66.7%

(a) Level of measurement

The students are categorized as freshmen, sophomores, juniors and seniors

This category can be classified as grouping by grades.

When data are categorized by grades, the lever of measurement is ordinal

Hence, the level of measurement of the student data is ordinal

(b) Percentage that are either freshmen or sophomores

The number of students that are either freshmen or sophomores are:

[tex]FS =14 + 18[/tex]

[tex]FS =32[/tex]

The total number of students is:

[tex]Total=14 + 18 + 10 + 6[/tex]

[tex]Total=48[/tex]

So, the percentage of student in this category is:

[tex]\% = \frac{FS}{Total}[/tex]

This gives

[tex]\% = \frac{32}{48}[/tex]

Divide

[tex]\% = 0.66667[/tex]

Express as percentage

[tex]\% = 66.7\%[/tex]

Hence, the percentage of students that are either freshmen or sophomores is 66.7%

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