Question 1

Which of the following is an example of categorical data?

Accepted Answer

The area code of a student's phone number

Question 2

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

Accepted Answer

40-45

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 a sample 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 what percentage of men are between 65.5 and 70.5 inches tall?

Accepted Answer

About 68%

Question 5

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

Accepted Answer

$$z = \frac{72 - 68}{2.5} = 1.6$$

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 = 72.895, median = 75.945, Q3 = 78.1, maximum = 79.57, what is the interquartile range (IQR)?

Accepted Answer

$$IQR = 78.1 - 72.895 = 5.205$$

Question 8

Which of the following statements about standard deviation is correct?

Accepted Answer

A data set with values spread out over a wide range has a larger standard deviation.

Question 9

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

Accepted Answer

The mean is equal to the median.

Question 10

A country in North America has a life expectancy of 65.6 years. If the lower quartile (Q1) is 72.5575 and the interquartile range (IQR) is 5.205, is this country an outlier according to the IQR rule?

Accepted Answer

Yes, because 65.6 is less than Q1 - 1.5*IQR

Question 11

Which of the following best describes the variable 'life expectancy' as shown in the table of South American countries?

Accepted Answer

Quantitative (numeric)

Question 12

Which of the following is NOT a component of the five-number summary?

Accepted Answer

Mean

Question 13

If a histogram is skewed left, which of the following is most likely true?

Accepted Answer

The mean is less than the median.

Question 14

Which of the following best describes the shape of the distribution for 'heights of 12th graders at a local high school'?

Accepted Answer

Symmetric and bell-shaped

Question 15

Which of the following is the correct formula for a z-score?

Accepted Answer

$$z = \frac{x - \mu}{\sigma}$$

Introductory Statistics Review Guidance: Lessons 1–7

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드