Q: Suppose you want to compare the proportion of players who scored 0 goals to the total number of players. Which formula would you use?

$$\text{Proportion} = \frac{\text{Number of players who scored 0}}{\text{Total number of players}}$$

Question 1

Which of the following best describes the distribution of goals scored by players on the San Diego Wave Football Club, as shown in the histogram?

Accepted Answer

The distribution is right-skewed with most players scoring few goals and a few scoring many.

Question 2

What is the main advantage of using a dot plot to visualize numerical data?

Accepted Answer

It shows the exact value and frequency of each data point, making it easy to identify outliers.

Question 3

Given the frequency table for goals scored (with 13 players scoring 0 goals, 5 scoring 1, 2 scoring 2, 1 scoring 3, and 1 scoring 16), what is the relative frequency of players who scored 1 goal?

Accepted Answer

$$\frac{5}{22}$$

Question 4

Which of the following is a disadvantage of using a histogram?

Accepted Answer

It cannot show the exact value of each observation.

Question 5

A bookstore dot plot shows one book costing $$290, while most books cost less than 100. $$What statistical term best describes the $290 book?

Accepted Answer

An outlier

Question 6

If a histogram has very wide bins, what is a likely consequence?

Accepted Answer

The histogram may hide important features such as multiple peaks.

Question 7

Which plot would be most appropriate for visualizing the distribution of BMI for 86 women?

Accepted Answer

Histogram

Question 8

What does the vertical axis represent in a density plot?

Accepted Answer

Density

Question 9

Suppose you want to compare the proportion of players who scored 0 goals to the total number of players. Which formula would you use?

Accepted Answer

$$	ext{Proportion} = \frac{	ext{Number of players who scored 0}}{	ext{Total number of players}}$$

Question 10

Which of the following statements about relative frequency histograms is true?

Accepted Answer

They show the proportion of observations in each bin.

Question 11

A density plot is best described as:

Accepted Answer

A smooth version of a histogram, showing the estimated probability density function.

Question 12

If you want to summarize the data after visualizing it, which of the following would be an appropriate next step?

Accepted Answer

Calculate measures of center and spread, such as mean and standard deviation.

Question 13

Which of the following is NOT a component of a distribution?

Accepted Answer

Pie chart

Question 14

A histogram of BMI for women shows a peak around 22 and a long tail to the right. What is the best description of this distribution?

Accepted Answer

Right-skewed

Question 15

Which of the following best explains why relative frequency is useful in histograms?

Accepted Answer

It allows comparison between data sets of different sizes.

Question 16

If a dot plot shows several points far from the main cluster, what does this indicate?

Accepted Answer

There are outliers in the data.

Question 17

Which of the following is a disadvantage of a dot plot for large data sets?

Accepted Answer

It becomes cluttered and hard to read.

Question 18

If you want to estimate the proportion of players who scored more than 2 goals using a histogram, what should you do?

Accepted Answer

Sum the frequencies of bins with values greater than 2 and divide by the total number of players.

Question 19

Which of the following best describes the relationship between a histogram and a density plot?

Accepted Answer

A density plot is a smooth version of a histogram.

Visualizing Variation in Numerical Data: Distributions, Dot Plots, Histograms, and Density Plots

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