Question

6.01 classifying types of data
assignment 6.01
classify the following variables as quantitative (n) or qualitative (c)
further classify all quantitative variables as discrete (d) or continuous (c)

1. shoe size
2. number of books in a backpack
3. favorite genre of music
4. time it takes to run 1 mile
5. current outdoor temperature
6. favorite brand of cereal
7. number of texts sent in one day
8. age in years
9. hair color
10. distance from school to home

challenge explain, in your own words, why certain variables that are formatted as numbers are not numerical variables. (ex. social security number or phone number)

Explanation:

Step1: Define quantitative and qualitative variables

Quantitative variables are numerical. Qualitative variables are non - numerical (categories).

Step2: Classify each variable as N or C

1. Shoe size: N (it is a number).
2. Number of books in a backpack: N (counted as a number).
3. Favorite genre of music: C (categories like rock, pop).
4. Time it takes to run 1 mile: N (measured as a number).
5. Current outdoor temperature: N (measured as a number).
6. Favorite brand of cereal: C (categories like Cheerios, Frosted Flakes).
7. Number of texts sent in one day: N (counted as a number).
8. Age in years: N (measured as a number).
9. Hair color: C (categories like brown, blonde).
10. Distance from school to home: N (measured as a number).

Step3: Classify quantitative variables as D or C

1. Shoe size: D (comes in set sizes like 7, 8, 9).
2. Number of books in a backpack: D (counted as whole numbers).
3. Time it takes to run 1 mile: C (can take any value within a range, e.g., 5.5 minutes).
4. Current outdoor temperature: C (can be 72.5 degrees).
5. Number of texts sent in one day: D (counted as whole numbers).
6. Age in years: D (counted as whole numbers).
7. Distance from school to home: C (can be 2.3 miles).

Answer:

1. N, D
2. N, D
3. C
4. N, C
5. N, C
6. C
7. N, D
8. N, D
9. C
10. N, C

For the challenge: Numbers like Social Security numbers or phone numbers are just labels. They do not represent a quantity that can be measured or counted in a meaningful numerical way (e.g., you can't add two Social Security numbers to get a meaningful result related to quantity). So they are not numerical variables.