Unit 1: Exploring One-Variable Data. These questions cover key concepts such as
types of variables, data displays, and summary statistics
AP Statistics Unit 1: Exploring One-Variable Data – Practice
Question
Question 1: Types of Variable
A survey collects the following information from each participant: age, gender, height, GPA, and
highest level of education completed.
How many of these variables are quantitative?
A) 2
B) 3
C) 4
D) 5
Answer: B) 3
Explanation: Quantitative variables are numerical and measurable. Age, height, and GPA are
quantitative. Gender and highest level of education are categorical
Question 2: Discrete vs. Continuous Variable
Which of the following variables is discrete?
A) Time taken to run a marathon
B) Height of students in a class
C) Number of books read in a month
D) Weight of apples in a basket
Answer: C) Number of books read in a month
Explanation: Discrete variables take on countable values. The number of books read is countable,
whereas time, height, and weight are continuous
Question 3: Interpreting Boxplot
A boxplot displays the distribution of scores from a math test. The box spans from 70 to 85, with a
median at 78. The lower whisker extends to 60, and the upper whisker extends to 95.
What percentage of students scored between 70 and 85?
A) 25%
B) 50%
C) 75%
D) 100%
Answer: B) 50%
Explanation: In a boxplot, the box represents the interquartile range (IQR), which contains the
middle 50% of the data
Question 4: Skewness in Histogram
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A histogram shows a distribution where most data points are clustered on the left, with a long tail
extending to the right.
How is this distribution skewed?
A) Symmetric
B) Skewed to the left
C) Skewed to the right
D) Uniform
Answer: C) Skewed to the right
Explanation: A long tail on the right indicates a right-skewed distribution
Question 5: Calculating Z-Score
In a class, the average score on a test is 80 with a standard deviation of 5. A student scored 90.
What is the student's z-score?
A) 1
B) 2
C) -1
D) -2
Answer: B) 2
Explanation: Z = (X - μ) / σ = (90 - 80) / 5 = 2
Question 6: Five-Number Summar
Given the dataset: 55, 60, 65, 70, 75, 80, 85, 90, 95
What is the ve-number summary?
A) 55, 65, 75, 85, 95
B) 55, 60, 75, 90, 95
C) 55, 70, 75, 80, 95
D) 55, 65, 70, 85, 95
Answer: A) 55, 65, 75, 85, 95
Explanation: Minimum: 55; Q1: 65; Median: 75; Q3: 85; Maximum: 95
Question 7: Appropriate Graph
Which graph is most appropriate for displaying the distribution of a categorical variable?
A) Histogram
B) Boxplot
C) Bar graph
D) Dotplot
Answer: C) Bar graph
Explanation: Bar graphs are used for categorical data, while histograms and boxplots are for
quantitative data
Question 8: Identifying Outlier
Using the IQR method, identify if 100 is an outlier in the dataset: 60, 65, 70, 75, 80, 85, 90, 95, 100
Answer:
Explanation: Q1 = 70; Q3 = 90; IQR = 20
Lower bound = Q1 - 1.5IQR = 70 - 30 = 40
Upper bound = Q3 + 1.5IQR = 90 + 30 = 120
Since 100 < 120, 100 is not an outlier
Question 9: Mean vs. Media
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In a right-skewed distribution, which measure of central tendency is greater?
A) Mean
B) Median
C) Mode
D) They are equal
Answer: A) Mean
Explanation: In right-skewed distributions, the mean is pulled in the direction of the tail, making it
greater than the median
Question 10: Standard Deviation Interpretatio
If a dataset has a standard deviation of 0, what does this indicate?
A) High variability
B) Low variability
C) No variability
D) Data is skewed
Answer: C) No variability
Explanation: A standard deviation of 0 means all data points are identical
For additional practice and resources, consider exploring the following
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High School Test Prep: Offers a comprehensive Unit 1 practice test with detailed
explanations. https://highschooltestprep.com/ap/statistics/unit-1-practice-test/?
utm_source=chatgpt.com
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Khan Academy: Provides a unit test on summarizing quantitative data, including boxplots
and histograms.https://www.khanacademy.org/math/ap-statistics/quantitative-data-ap?
utm_source=chatgpt.com
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