Question 1

Which of the following best describes the distribution shown in Figure (a) of the first image (Bell-Shaped (Normal) Distribution)?

Accepted Answer

The frequencies start low, increase to a maximum, and then decrease, forming a symmetric shape.

Question 2

A frequency distribution is constructed with 7 classes. The minimum value is 12 and the maximum value is 54. What is the class width? (Round up to the next whole number.)

Accepted Answer

$$\frac{54 - 12}{7} = 6 ($$rounded up to 7)

Question 3

Which of the following graphs is most appropriate for displaying the distribution of categorical data such as types of stolen boats?

Accepted Answer

Pareto chart

Question 4

What is the main advantage of using a relative frequency histogram instead of a regular histogram when comparing two data sets with different sample sizes?

Accepted Answer

Relative frequencies allow for direct comparison regardless of sample size.

Question 5

Which of the following statements about pie charts is TRUE according to the study materials?

Accepted Answer

Pie charts are not recommended because they waste ink and lack an appropriate scale.

Question 6

A distribution is said to be skewed to the right if:

Accepted Answer

It has a longer right tail.

Question 7

Given the following class limits: 10-19, 20-29, 30-39, what is the class midpoint for the class 20-29?

Accepted Answer

$$\frac{20 + 29}{2} = 24.5$$

Question 8

Which of the following is a feature of a dotplot?

Accepted Answer

It is usually possible to recreate the original list of data values.

Question 9

A time-series graph is most useful for:

Accepted Answer

Revealing trends over time in quantitative data.

Question 10

Which of the following is a potential problem with pictographs?

Accepted Answer

They can exaggerate differences due to the use of area or volume.

Question 11

If a cumulative frequency distribution is constructed from the frequencies 2, 5, 3, and 4, what is the cumulative frequency for the third class?

Accepted Answer

$$2 + 5 + 3 = 10$$

Question 12

Which of the following best describes a scatterplot with no distinct pattern, as shown in Figure 2-15 (Weights and Pulse Rates)?

Accepted Answer

There is no correlation between the two variables.

Question 13

Which of the following is NOT a feature of a stemplot?

Accepted Answer

It does not retain the original data values.

Question 14

Which of the following is true about the regression line (line of best fit) in a scatterplot?

Accepted Answer

It is the straight line that best fits the scatterplot of the data.

Question 15

Which of the following is a correct formula for calculating the relative frequency for a class?

Accepted Answer

$$	ext{Relative frequency} = \frac{	ext{frequency for a class}}{	ext{sum of all frequencies}}$$

Question 16

Which of the following is a distinguishing feature of a Pareto chart?

Accepted Answer

Bars are arranged in descending order according to frequencies.

Question 17

Which of the following is NOT a characteristic of a normal distribution?

Accepted Answer

The distribution is skewed to the right.

Question 18

If a histogram shows a longer tail on the left side, how is the data described?

Accepted Answer

Skewed to the left (negatively skewed)

Question 19

Which of the following is a correct formula for finding the class midpoint?

Accepted Answer

$$	ext{Class midpoint} = \frac{	ext{lower class limit} + 	ext{upper class limit}}{2}$$

Question 20

Which of the following is a reason why correlation does not imply causation?

Accepted Answer

Two variables may be associated without one causing the other.

Exploring Data with Tables and Graphs: Frequency Distributions and Graphical Summaries

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