Grade 8 · Math
Describe association in paired data
Describe an upward, downward or unclear overall trend in paired measurements without treating association as proof of cause.
6 authored questions + worked example

Worked example
Paired measurements: (1, 2), (2, 3), (3, 5), (4, 7), (5, 8).
Which description best matches the overall direction of these paired data?
Answer & why
Answer: an upward trend
The second values generally increase as the first values increase. Association in a data set does not by itself establish cause.
Add to plan ↗All questions
All 6 authored questions for this skill.
Question 1
Paired measurements: (1, 2), (2, 5), (3, 2), (4, 5), (5, 2).
Which description best matches the overall direction of these paired data?
- an upward trend
- a downward trend
- no clear upward or downward trend
- proof that the first variable causes the second
A hint
Read the pairs from smaller to larger first coordinates and look for an overall direction.
Answer & why
Answer: no clear upward or downward trend
The second values alternate rather than generally moving upward or downward. Association in a data set does not by itself establish cause.
Add to plan ↗Question 2
Paired measurements: (1, 1), (2, 3), (3, 4), (4, 6), (5, 9).
Which description best matches the overall direction of these paired data?
- proof that the first variable causes the second
- an upward trend
- no clear upward or downward trend
- a downward trend
A hint
Read the pairs from smaller to larger first coordinates and look for an overall direction.
Answer & why
Answer: an upward trend
Higher first values are paired with higher second values in these data. Association in a data set does not by itself establish cause.
Add to plan ↗Question 3
Paired measurements: (1, 10), (2, 8), (3, 6), (4, 5), (5, 1).
Which description best matches the overall direction of these paired data?
- an upward trend
- a downward trend
- no clear upward or downward trend
- proof that the first variable causes the second
A hint
Read the pairs from smaller to larger first coordinates and look for an overall direction.
Answer & why
Answer: a downward trend
Higher first values are paired with lower second values in these data. Association in a data set does not by itself establish cause.
Add to plan ↗Question 4
Paired measurements: (1, 5), (2, 2), (3, 7), (4, 2), (5, 5).
Which description best matches the overall direction of these paired data?
- proof that the first variable causes the second
- an upward trend
- no clear upward or downward trend
- a downward trend
A hint
Read the pairs from smaller to larger first coordinates and look for an overall direction.
Answer & why
Answer: no clear upward or downward trend
The values fluctuate with no overall upward or downward direction. Association in a data set does not by itself establish cause.
Add to plan ↗Question 5
Paired measurements: (1, 2), (2, 3), (3, 5), (4, 7), (5, 8).
Which description best matches the overall direction of these paired data?
- an upward trend
- a downward trend
- proof that the first variable causes the second
- no clear upward or downward trend
A hint
Read the pairs from smaller to larger first coordinates and look for an overall direction.
Answer & why
Answer: an upward trend
The second values generally increase as the first values increase. Association in a data set does not by itself establish cause.
Add to plan ↗Question 6
Paired measurements: (1, 9), (2, 7), (3, 6), (4, 4), (5, 2).
Which description best matches the overall direction of these paired data?
- a downward trend
- proof that the first variable causes the second
- an upward trend
- no clear upward or downward trend
A hint
Read the pairs from smaller to larger first coordinates and look for an overall direction.
Answer & why
Answer: a downward trend
The second values generally decrease as the first values increase. Association in a data set does not by itself establish cause.
Add to plan ↗