Q: In a pie chart showing car sales, if 30 out of 60 cars sold are coupes, what percentage of the chart does the coupe section represent?

$$ \frac{30}{60} \times 100\% = 50\% $$

Question 1

Which of the following best describes a histogram?

Accepted Answer

A graphical form of a frequency distribution with intervals marked along the x-axis and bars whose heights represent frequencies, with no spaces between bars.

Question 2

A cumulative line graph (ogive) is used to display which of the following?

Accepted Answer

The cumulative frequency or cumulative relative frequency distribution, starting at 0 and ending at 1.00.

Question 3

Given the data set: {5, -7, 2, 0, -9, 12, 10, 7}, what is the arithmetic mean?

Accepted Answer

$$ \frac{20}{8} = 2.5 $$

Question 4

Which measure of central tendency is most resistant to the effect of outliers?

Accepted Answer

Median

Question 5

A scatter plot is most useful for:

Accepted Answer

Showing the relationship between two quantitative variables.

Question 6

If a histogram has a tail stretched out to the right, how is the distribution described?

Accepted Answer

Skewed right

Question 7

In a pie chart showing car sales, if 30 out of 60 cars sold are coupes, what percentage of the chart does the coupe section represent?

Accepted Answer

$$ \frac{30}{60} 	imes 100\% = 50\% $$

Question 8

Which of the following is NOT a legitimate measure of central tendency?

Accepted Answer

Range

Question 9

A stem-and-leaf plot is most similar to which other graphical representation?

Accepted Answer

Histogram

Question 10

If a scatter plot of two variables forms a circular pattern, what does this indicate about the relationship between the variables?

Accepted Answer

They are uncorrelated.

Question 11

Which formula is used to find the location of the median in a ranked data set?

Accepted Answer

$$ \frac{n+1}{2} $$

Question 12

A distribution with two prominent peaks is best described as:

Accepted Answer

Bimodal

Question 13

Which of the following is an example of a misleading graph?

Accepted Answer

A bar graph with inconsistent interval sizes on the x-axis.

Question 14

In a company with five employees earning $$10,000 each and a president earning 50$$,000, which measure of central tendency best describes the typical salary?

Accepted Answer

Mode

Question 15

Which of the following statements about outliers is TRUE?

Accepted Answer

Outliers can significantly affect the mean, making it less representative of the data.

Question 16

If the mean and median of a data set are equal, what can be inferred about the distribution?

Accepted Answer

The distribution is symmetric.

Question 17

Which graph would best help you determine if a data set is from a population with a normal distribution?

Accepted Answer

Histogram or normal quantile plot

Question 18

A frequency polygon is constructed by:

Accepted Answer

Connecting the midpoints of the top of each bar in a histogram with straight lines.

Question 19

Which of the following is the correct formula for the arithmetic mean of a population?

Accepted Answer

$$ \mu = \frac{\sum x}{N} $$

Question 20

Which of the following best describes a direct relationship in a scatter plot?

Accepted Answer

As one variable increases, the other increases.

Summarizing, Graphing, and Describing Data: Study Notes for Introductory Statistics

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