Q: A country in North America has a life expectancy of 65.6 years. If the lower quartile (Q1) is 72.5575 and the IQR is 5.5575, is this value an outlier?

Yes, because $$65.6 \u003c Q1 - 1.5 \times IQR$$

Question 1

Which of the following is an example of categorical data?

Accepted Answer

The color of cars in a parking lot

Question 2

Given the histogram of Best Actor Oscar winners' ages, what is the most frequent age range for winners?

Accepted Answer

40-45 years

Question 3

If a data set is skewed right, which of the following is true?

Accepted Answer

The mean is greater than the median

Question 4

Suppose the heights of 200 men are bell-shaped with a mean of 68 inches and a standard deviation of 2.5 inches. According to the Empirical Rule, about 95% of the heights should fall within which range?

Accepted Answer

$$68 \pm 2 	imes 2.5$$

Question 5

A 72-inch tall man from the sample in the previous question has a z-score of:

Accepted Answer

$$z = \frac{72 - 68}{2.5}$$

Question 6

Which histogram (A, B, or C) best represents the distribution of time taken to complete a short stats test?

Accepted Answer

B

Question 7

Given the five-number summary: minimum = 70.7, Q1 = 72.5575, median = 75.945, Q3 = 78.115, maximum = 79.57, what is the interquartile range (IQR)?

Accepted Answer

$$78.115 - 72.5575$$

Question 8

Which of the following variables is most likely to have a symmetric distribution?

Accepted Answer

Heights of 12th graders at a local high school

Question 9

If a value is more than 1.5 times the IQR above the third quartile, it is considered:

Accepted Answer

An outlier

Question 10

In the boxplot comparing life expectancy by region, which region has the lowest median life expectancy?

Accepted Answer

Africa

Question 11

A country in North America has a life expectancy of 65.6 years. If the lower quartile (Q1) is 72.5575 and the IQR is 5.5575, is this value an outlier?

Accepted Answer

Yes, because $$65.6 \u003c Q1 - 1.5 	imes IQR$$

Question 12

Which of the following is NOT a measure of spread?

Accepted Answer

Median

Question 13

If a histogram is skewed left, which is typically larger?

Accepted Answer

Median

Question 14

Which of the following best describes the relationship between a frequency table and a bar chart?

Accepted Answer

A bar chart visually represents the data in a frequency table

Question 15

Which of the following is a real-world example of numeric (quantitative) data?

Accepted Answer

Life expectancy in years for different countries

Introductory Statistics Review: Data Types, Distributions, and Descriptive Statistics

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