Question 1

A company wants to visualize the distribution of the highest degree earned by its 50 top executives. Which of the following graphical methods would best display the relative proportions of each degree category?

Accepted Answer

Pie chart

Question 2

Given the following sample data: 5, 7, 4, 5, 20, 6, 2. What is the median of this data set?

Accepted Answer

$$5$$

Question 3

Which of the following statements about the mean and median is TRUE for a right-skewed distribution?

Accepted Answer

The mean is greater than the median.

Question 4

A sample of 2,000 students has a mean GMAT score of $$540$$ and a standard deviation of $$100. $$What is the z-score for a student who scored $$440$$?

Accepted Answer

$$z = -1.0$$

Question 5

Which of the following is NOT a recommended use of a histogram?

Accepted Answer

To display the distribution of a categorical variable

Question 6

If a data set has a mean of $$15.5$$ and a standard deviation of $$3.34$$, according to the Empirical Rule, approximately what percentage of the data falls between $$8.82$$ and $$22.18$$?

Accepted Answer

Approximately $$95\%$$

Question 7

Which of the following best describes the interquartile range (IQR)?

Accepted Answer

The difference between the upper and lower quartiles

Question 8

A box plot for a data set shows the lower quartile $$Q_L = 7.1$$, the median $$Q_M = 8$$, and the upper quartile $$Q_U = 9.6. $$What is the interquartile range (IQR)?

Accepted Answer

$$IQR = 1.5$$

Question 9

Which of the following is a method for detecting outliers in a data set?

Accepted Answer

Box plot

Question 10

A company tracks its monthly sales over five years. Which graphical method is most appropriate to display trends and changes over time?

Accepted Answer

Time series plot

Question 11

Which of the following is TRUE about Chebyshev’s Rule?

Accepted Answer

It applies to any data set, regardless of shape.

Question 12

A data set has the following values: 2, 3, 3, 3, 4. What is the sample variance?

Accepted Answer

Question 13

Which of the following is a potential source of outliers in a data set?

Accepted Answer

A measurement is recorded incorrectly

Question 14

Which of the following best describes a Pareto diagram?

Accepted Answer

A bar graph with categories arranged in descending order of frequency

Question 15

If a value has a z-score of $$2.5$$, what does this indicate about the value?

Accepted Answer

It is $$2.5$$ standard deviations above the mean

Question 16

Which of the following is a common way to distort the truth with descriptive statistics?

Accepted Answer

Changing the scale on the vertical axis

Question 17

A dot plot is most useful for which type of data?

Accepted Answer

Small quantitative data sets

Question 18

Which of the following is the formula for the sample mean $$\bar{x} of$$ $$n$$ measurements $$x_1$$, $$x_2$$, ..., x_n$$?

Accepted Answer

$$\bar{x} = \frac{\sum_{i=1}^n x_i}{n}$$

Question 19

Which of the following best describes a scatterplot?

Accepted Answer

A graph that displays the relationship between two quantitative variables

Question 20

Which of the following is TRUE about the mode?

Accepted Answer

It is the value that occurs most frequently in a data set

Describing Data: Tables, Graphs, and Numerical Measures in Business Statistics

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