Question 1

Which of the following statements about statistics is FALSE?

Accepted Answer

Statistics is used to answer questions with 100% certainty.

Question 2

Classify the variable: the colors of book covers on a bookshelf.

Accepted Answer

qualitative

Question 3

Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch.

Accepted Answer

discrete

Question 4

What is the level of measurement for the variable: the musical instrument played by a music student?

Accepted Answer

nominal

Question 5

A medical researcher randomly assigns adults with diabetes to a treatment group and a placebo group, then evaluates their symptoms after three months. What type of study is this?

Accepted Answer

experiment

Question 6

Researchers interview adults about their emotional suppression and measure their blood pressure at a single point in time. What type of observational study is this?

Accepted Answer

cross-sectional; Information is collected at a specific point in time.

Question 7

Which sampling method would best represent the city's residents for a survey about a new town hall?

Accepted Answer

Survey a random sample of persons within each geographic region of the city.

Question 8

Thirty-five math majors, 56 music majors, and 26 history majors are randomly selected from their respective populations at a university. What sampling technique is used?

Accepted Answer

stratified

Question 9

Refer to the bar graph showing the number of tickets sold each week by the garden club. During which week was the fewest number of tickets sold?

Accepted Answer

week 2

Question 10

Given a pie chart with 700 total votes and the following percentages: Matt 25%, Ted 32%, Ann 16%, Gina 27%. Who received the most votes?

Accepted Answer

Ted

Question 11

What is the class width in a frequency distribution?

Accepted Answer

Two successive lower class limits

Question 12

For the stem-and-leaf plot below, what are the maximum and minimum entries?
1 | 3 4
1 | 6 6 6 7 8 9
2 | 0 1 1 2 3 4 4 5 6 6
2 | 7 7 7 8 8 9 9 9
3 | 0 1 1 2 3 4 4 5 5
3 | 6 6 6 7 8 8 9 9
4 | 1 3

Accepted Answer

max: 43; min: 13

Question 13

Given the data set: 5, 8, 13, 17, 22, what is the sample mean $$\bar{x}$$?

Accepted Answer

$$\bar{x} = 13$$

Question 14

The median of a data set is:

Accepted Answer

Lies in the middle of the data when the data is arranged in ascending order.

Question 15

Given the following five-number summary: 29, 37, 50, 66, 94. What is the interquartile range (IQR)?

$$IQR = Q_3$ - Q_1$

Accepted Answer

$$29$$

Question 16

A tennis player has a mean serve speed of 103 mph and a standard deviation of 14 mph. The distribution is bell-shaped. What proportion of serves are expected to be between 131 mph and 145 mph?

Accepted Answer

$$0.0235$$

Question 17

A tennis player has a mean serve speed of 102 mph and a standard deviation of 15 mph. If nothing is known about the shape of the distribution, give an interval that will contain the speeds of at least three-fourths of the player's serves.

Use Chebyshev's Theorem: $$	ext{At least } 1 - \frac{1}{k^2$} of $$the data lies within $$k$$ standard deviations.

Accepted Answer

72 mph to 132 mph

Question 18

Given the boxplot for soda fill amounts, what shape do you believe the data to have?

Accepted Answer

skewed to the left

Question 19

Given the histogram of hours spent on the Internet, what is the shape of the distribution?

Accepted Answer

uniform

Statistics Study Guide: Visual Data Representations and Analysis

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