Question

building basic skills and vocabulary

1. name each level of measurement for which data can be qualitative.
2. name each level of measurement for which data can be quantitative.

true or false? in exercises 3 - 6, determine whether the statement is true or false. if it is false, rewrite it as a true statement.

1. data at the ordinal level are quantitative only.
2. for data at the interval level, you cannot calculate meaningful differences between data entries.
3. more types of calculations can be performed with data at the nominal level than with data at the interval level.
4. data at the ratio level cannot be put in order.

using and interpreting concepts
classifying data by type in exercises 7 - 18, determine whether the data are qualitative or quantitative. explain your reasoning.

1. telephone numbers in a directory
2. heights of hot air balloons
3. body temperatures of patients
4. eye colors of models
5. lengths of songs on mp3 player
6. carrying capacities of pickups
7. player numbers for a soccer team
8. student id numbers
9. weights of infants at a hospital
10. species of trees in a forest
11. responses on an opinion poll
12. wait times at a grocery store

Explanation:

1. Nominal and ordinal levels can have qualitative data. Nominal is for naming - like colors or types, ordinal has order but no numerical meaning - like rankings.
2. Interval and ratio levels have quantitative data. Interval has equal intervals (e.g., temperature in Celsius), ratio has a true zero (e.g., height).
3. False. Data at the ordinal level can be qualitative or quantitative. True statement: Data at the ordinal level can be qualitative or quantitative.
4. False. For data at the interval level, you can calculate meaningful differences. True statement: For data at the interval level, you can calculate meaningful differences between data entries.
5. False. More types of calculations can be performed with data at the interval level than at the nominal level. True statement: More types of calculations can be performed with data at the interval level than with data at the nominal level.
6. False. Data at the ratio level can be put in order. True statement: Data at the ratio level can be put in order.
7. Qualitative. Telephone numbers are used for identification, not for numerical calculations.
8. Quantitative. Heights are numerical values representing a physical quantity.
9. Quantitative. Body temperatures are numerical values on a scale.
10. Qualitative. Eye - colors are categories.
11. Quantitative. Lengths of songs are numerical values representing time.
12. Quantitative. Carrying capacities are numerical values representing a measure of weight or volume.
13. Qualitative. Player numbers are for identification, not for numerical calculations.
14. Qualitative. Student ID numbers are for identification, not for numerical calculations.
15. Quantitative. Weights are numerical values representing a physical quantity.
16. Qualitative. Species of trees are categories.
17. Qualitative. Responses on an opinion poll are categories or labels.
18. Quantitative. Wait times are numerical values representing time.

Answer:

1. Nominal, Ordinal
2. Interval, Ratio
3. False. Data at the ordinal level can be qualitative or quantitative.
4. False. For data at the interval level, you can calculate meaningful differences between data entries.
5. False. More types of calculations can be performed with data at the interval level than with data at the nominal level.
6. False. Data at the ratio level can be put in order.
7. Qualitative
8. Quantitative
9. Quantitative
10. Qualitative
11. Quantitative
12. Quantitative
13. Qualitative
14. Qualitative
15. Quantitative
16. Qualitative
17. Qualitative
18. Quantitative