AP Statistics - Unit 1
Authored by Paula Shaffer-Roche
Mathematics
11th Grade - University
CCSS covered
Used 1K+ times
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This quiz focuses on descriptive statistics and data analysis, covering fundamental concepts in statistical reasoning that form the foundation of AP Statistics coursework. The questions assess students' understanding of distribution shapes, measures of central tendency and spread, statistical notation, outlier identification, and the interpretation of visual data displays including histograms and boxplots. Students need to demonstrate mastery of key statistical vocabulary, calculate weighted means across multiple groups, apply the 1.5×IQR rule for outlier detection, understand the relationship between distribution shape and measures of center, and interpret the effects of extreme values on different statistical measures. The complexity and mathematical sophistication of these problems, particularly the multi-step reasoning required for outlier analysis and the nuanced understanding of how new data points affect existing distributions, clearly indicate this material is appropriate for grades 11-12. Created by Paula Shaffer-Roche, a Mathematics teacher in the US who teaches grades 11-13, this assessment serves as an excellent diagnostic tool for AP Statistics Unit 1 concepts. Teachers can deploy this quiz as a formative assessment after introducing descriptive statistics to gauge student comprehension before moving to inferential topics, or use it as a warm-up review before unit tests to reinforce critical vocabulary and reasoning skills. The varied question formats make it particularly effective for homework assignments that require students to practice both computational skills and conceptual interpretation independently. This quiz directly aligns with Common Core standards S-ID.1 (representing data with plots on the real number line), S-ID.2 (using statistics appropriate to the shape of the data distribution), and S-ID.3 (interpreting differences in shape, center, and spread), while supporting AP Statistics learning objectives for exploratory data analysis and statistical reasoning.
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10 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How would you describe this graph?
Tags
CCSS.HSS.ID.A.2
CCSS.HSS.ID.A.3
CCSS.HSS.ID.A.1
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and section B had 20 students who had a mean score of 90. Overall, what was the approximate mean score for all students on the quiz?
Tags
CCSS.HSS.ID.A.2
CCSS.HSS.MD.A.2
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does μ stand for?
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does σ stand for?
Tags
CCSS.HSS.ID.A.4
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does x̄ stand for?
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5 × IQR rule for outliers, is there evidence to support the student’s claim?
Yes, there are two outliers. One outlier is 9 minutes and the other outlier is 58 minutes.
No, there is only one outlier at 9 minutes.
No, there is only one outlier at 58 minutes.
No, there are three outliers. One outlier is 9 minutes, one outlier is 35 minutes, and one outlier is 58 minutes.
No, there are no outliers.
Tags
CCSS.HSS.ID.A.3
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A reporter collected data on the purchase prices, in thousands of dollars, of 72 cars sold in a region. The above histogram summarizes the reporter’s data.
For a presentation on the data collected, the reporter used the median of the distribution to describe the typical purchase price. Which of the following might explain the use of median to describe the typical purchase price?
There is an outlier between $80,000 and $85,000. Medians are resistant to outliers, while means are not.
The number of observations that fall within a given interval is known. However, within each interval, the actual values are not known.
The distribution is left skewed.
The values represented in the histogram are in the thousands.
The distribution is uniform.
Tags
CCSS.HSS.ID.A.2
CCSS.HSS.ID.A.3
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