Unit 1: Exploring One-Variable Data
Statistics · Unit 1 · Paper 1

Exploring One-Variable Data unit test

A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.

Paper 1Paper 2Paper 3
Each paper is built from this unit’s 21 terms and is the same for everyone, so a teacher can assign “Unit 1, Paper 1” and every student sits the identical test. Multiple choice is marked objectively; the written sections you mark yourself against the model answer and rubric.
Suggested time 33 min 30 points0/17 attempted
1

Boxplot limitations

2

Skewness direction

3

Normal probability calculations

4

z-score

5

Histogram vs bar chart

6

Standardizing and comparing

7

Describing a distribution

8

Interquartile range

9

Normal distribution and the empirical rule

10

Standard deviation

11

Effect of an outlier on mean and median

12

Percentile

Short answer 1. Define or explain: 1.5 × IQR outlier rule

3 pts

Short answer 2. Define or explain: Effect of transformations

3 pts

Short answer 3. Define or explain: Density curve

3 pts

Short answer 4. Define or explain: Cumulative relative frequency graph

3 pts

Free response

6 pts

This course has no free-response prompt tagged to this unit, so one from elsewhere in the course is used. It is still worth writing — the skill transfers.

A researcher tests whether a new fertilizer increases mean tomato yield. She randomly assigns 40 plants to two groups of 20. New: x̄₁ = 5.4 kg, s₁ = 1.2. Standard: x̄₂ = 4.7 kg, s₂ = 1.1.

State the hypotheses.

Name the test and check conditions.

The test gives t = 1.92, df ≈ 37, p = 0.031. State a conclusion at α = 0.05 in context.

Explain what a Type I error would be here.