Question

determine if each of the following scenarios is categorical or numerical.

1. heights of twenty 6th graders. numerical
2. hours of sleep on a school night for thirty 6th graders. ______
3. favorite flavor of ice cream for each of ten 6th graders. ______
4. number of pencils in each pencil case of fifteen 6th graders. ______
5. type of beverage drank at lunch for each of fifteen 6th graders. ______
6. what are the favorite colors of sixth graders in my school? ______
7. how many years have students in my schools band or orchestra played an instrument? ______
8. what is the favorite subject of sixth graders at my school? ______
9. how many brothers and sisters does my best friend have? ______
10. what types of car brands do you see at the school parking lot? ______
11. how much time do students spend exercising per day? ______
12. what type of pets do the students in the middle school have? ______

word bank:
categorical categorical numerical numerical numerical categorical categorical numerical numerical categorical categorical numerical

Explanation:

• Numerical data represents measurable quantities with numbers. Categorical data represents groups or categories.

1. Hours of sleep is a measurable number.
2. Ice cream flavors are distinct categories.
3. Number of pencils is a countable number.
4. Beverage types are distinct categories.
5. Favorite colors are distinct categories.
6. Years playing an instrument is a countable number.
7. Favorite subjects are distinct categories.
8. Number of siblings is a countable number.
9. Car brands are distinct categories.
10. Exercise time is a measurable number.
11. Pet types are distinct categories.

Answer:

1. Heights of twenty 6th graders. numerical
2. Hours of sleep on a school night for thirty 6th graders. numerical
3. Favorite flavor of ice cream for each of ten 6th graders. categorical
4. Number of pencils in each pencil case of fifteen 6th graders. numerical
5. Type of beverage drank at lunch for each of fifteen 6th graders. categorical
6. What are the favorite colors of sixth graders in my school? categorical
7. How many years have students in my school's band or orchestra played an instrument? numerical
8. What is the favorite subject of sixth graders at my school? categorical
9. How many brothers and sisters does my best friend have? numerical
10. What types of car brands do you see at the school parking lot? categorical
11. How much time do students spend exercising per day? numerical
12. What type of pets do the students in the middle school have? categorical