0123456789101112131415ValueData with one large value.Which statement about this dotplot is true?

The mean is greater than the median

The mean is less than the median

AP Statistics Mean, Median, Standard Deviation and Outliers Quiz: 10 Questions with Explanations

AP Statistics math quiz: Mean, Median, Standard Deviation and Outliers – Maths PDF

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This summary statistics quiz for AP Statistics covers mean, median, standard deviation and outliers (Common Core AP STAT 1.6, AP STAT 1.7, HSS-ID.A.2, HSS-ID.A.3), with a free PDF to print.

Ten multiple-choice questions test the meaning of the mean, median, standard deviation, and outlier rule. Read each explanation to see the typical error.

AP Statistics · Common Core State Standards: AP STAT 1.6, AP STAT 1.7, HSS-ID.A.2, HSS-ID.A.3

Summary statistics quiz: 10 questions

Question 1

Data with one large value.

Which statement about this dotplot is true?

Question 2

Which statistic is resistant to outliers?

Question 3

Every value in a data set is increased by 10. What happens to the standard deviation?

Question 4

Every value in a data set is multiplied by 3. The standard deviation was 4. What is the new standard deviation?

Question 5

Quartiles.

Using the 1.5 IQR rule, what is the upper fence?

Question 6

The mean of 5 numbers is 12. Four of them add to 50. What is the fifth?

Question 7

In the standard deviation formula for a sample we divide by:

Question 8

Set A.

Another data set has the same mean 6 but values from 1 to 11. Compared with this set, its standard deviation is:

Question 9

A right-skewed data set. Which relationship is most likely?

Question 10

Which value is the IQR of the data with Q1 = 12 and Q3 = 20.5?

Remember

Mean = sum divided by n; median = middle of the ordered list.
Skewed right: mean > median; skewed left: mean < median; symmetric: about equal.
s = sqrt( sum of squared deviations / (n – 1) ); IQR = Q3 – Q1.
1.5 IQR rule: outliers lie below Q1 – 1.5 IQR or above Q3 + 1.5 IQR.
Adding c shifts center but not spread; multiplying by k scales both by |k|.

How to use this summary statistics quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the summary statistics quiz as a PDF with the button below and keep it with your notes.

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