Question 1

Which of the following best describes a frequency table?

Accepted Answer

A table that groups observations into classes with non-overlapping intervals and shows the count in each class.

Question 2

A relative frequency table is constructed by:

Accepted Answer

Dividing each class frequency by the total number of observations $$n.$$

Question 3

If a frequency table's percentages add up to 105%, what is the most likely explanation?

Accepted Answer

The classes are not independent and may overlap.

Question 4

In a histogram, what does the height of each bar represent?

Accepted Answer

The frequency or relative frequency of observations within that class interval.

Question 5

A student is 25 years and 8 months old. If the age bins are 16-25 and 26-35, which bin should the student be placed in?

Accepted Answer

26-35, because the boundary is at 25.5 and the student is older than 25.5.

Question 6

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

Accepted Answer

It is always skewed to the right.

Question 7

Given the following pulse rates: 68, 68, 68, 77, 77, which statement is true about the mode?

Accepted Answer

The mode is 68, because it appears most frequently.

Question 8

A cumulative frequency table is constructed by:

Accepted Answer

Adding the frequency of each class to the sum of all previous class frequencies.

Question 9

Which of the following best describes a stem-and-leaf plot?

Accepted Answer

A plot that organizes data by place value, showing both the shape of the distribution and the actual data values.

Question 10

Which of the following is a potential problem with using a pie chart to display data?

Accepted Answer

Pie charts make it difficult to compare the size of different categories accurately.

Question 11

A histogram of the weights of 30 candy containers is bell-shaped and symmetric. What can you infer about the distribution?

Accepted Answer

The distribution is likely normal.

Question 12

Which of the following is true about the boundaries between bins in a frequency table?

Accepted Answer

Boundaries are set at the midpoint between the upper limit of one bin and the lower limit of the next.

Question 13

If a histogram has two distinct peaks, it is best described as:

Accepted Answer

Bimodal

Question 14

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

Accepted Answer

A bar graph with a y-axis that does not start at zero.

Question 15

A percentile is best described as:

Accepted Answer

The value below which a given percentage of observations fall.

Question 16

Which of the following best describes a dotplot?

Accepted Answer

A plot where each data point is represented as a dot above its value on a number line.

Question 17

If a distribution has a long tail on the right side, it is said to be:

Accepted Answer

Right-skewed

Question 18

Which of the following is true about outliers in a dataset?

Accepted Answer

Outliers are values that are much higher or lower than the rest of the data.

Question 19

A uniform distribution is best described as:

Accepted Answer

A distribution where all values occur with approximately the same frequency.

Question 20

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

Accepted Answer

$$ 	ext{Relative Frequency} = \frac{	ext{Frequency of the class}}{n} $$

Describing Data with Tables and Graphs: Frequency Tables, Histograms, and Data Distributions

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