Which is a quantitative variable?

Answer: Height in cm Height is measured numerically with meaningful arithmetic. Zip codes are numeric labels (categorical).

This variable is best classified as:

Answer: Quantitative continuous Time can take any value in an interval. Even with rounding for measurement, the variable itself is continuous.

The variable "number correct" is best classified as:

Answer: Quantitative discrete The number correct can only take whole-number values from 0 to 20 — quantitative and discrete.

AP Statistics · Topic 1.2

The Language of Variation: Variables Practice

Part of Exploring One-Variable Data.(VAR-1.B)

Practice questions

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Sample questions

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Sample 1difficulty 1/5
$Which is a quantitative variable?$
- A
  $Height in cm$
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- B
  $Zip code$
- C
  $Type of pet$
- D
  $Eye color$
Why
$Height is measured numerically with meaningful arithmetic. Zip codes are numeric labels (categorical).$
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Sample 2difficulty 2/5
$Time to complete a task is recorded to the nearest 0.01 seconds.$
$This variable is best classified as:$
- A
  $Categorical$
- B
  $Quantitative continuous$
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- C
  $Ordinal$
- D
  $Quantitative discrete$
Why
$Time can take any value in an interval. Even with rounding for measurement, the variable itself is continuous.$
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Sample 3difficulty 2/5
$A teacher records the number of correct answers (out of 20) on each student's quiz.$
$The variable "number correct" is best classified as:$
- A
  $Quantitative continuous$
- B
  $Categorical ordinal$
- C
  $Categorical nominal$
- D
  $Quantitative discrete$
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Why
$The number correct can only take whole-number values from 0 to 20 — quantitative and discrete.$
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Sample 4difficulty 2/5
$A biologist measures the mass of each newborn puppy in a litter, rounding to the nearest gram. She wants to classify this variable.$
$The mass of a puppy is best classified as which type of variable?$
- A
  $Categorical ordinal$
- B
  $Quantitative continuous$
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- C
  $Categorical nominal$
- D
  $Quantitative discrete$
Why
$Mass can take any value in an interval, making it continuous. Rounding for recording does not change the underlying continuous nature.$
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Sample 5difficulty 2/5
$A school nurse recorded six variables for each student in the senior class. The list of recorded variables is shown.$
$How many of the listed variables are quantitative?$
- A
  $3 (height, weight, number of siblings)$
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- B
  $2 (height, weight)$
- C
  $4 (height, weight, zip code, siblings)$
- D
  $5 (all but eye color)$
Why
$Height, weight, and number of siblings are numeric measurements. Zip codes are categorical labels even though written with digits.$
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