Quiz 3 Review

What is an outlier in a box plot?

• An outlier in a box plot is a data point that is always the highest value.

• An outlier in a box plot is a data point that is significantly different from the rest of the data points.

• An outlier in a box plot is a data point that is exactly in the middle of the rest of the data points.

• An outlier in a box plot is a data point that is irrelevant to the analysis.

Answer explanation

An outlier in a box plot is a data point that is significantly different from the rest of the data points. If a point lies 1.5*IQR away from the box, it is considered an outlier

Explain the significance of the median line in a box plot.

• The median line in a box plot indicates the standard deviation of the dataset.

• The median line in a box plot shows the range of the data distribution.

• The median line in a box plot is important as it indicates the central tendency of the data distribution.

• The median line in a box plot represents the maximum value in the dataset.

Answer explanation

The median line in a box plot is important as it indicates the central tendency of the data distribution.

Describe the process of calculating the interquartile range for a box plot.

• The interquartile range is calculated by dividing the first quartile (Q1) by the third quartile (Q3).

• The interquartile range is calculated by adding the first quartile (Q1) and the third quartile (Q3).

• The interquartile range is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

• The interquartile range is calculated by multiplying the first quartile (Q1) by the third quartile (Q3).

Answer explanation

The interquartile range is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

What information does the length of the box in a box plot provide?

• Interquartile range (IQR)

• Median

• Standard Deviation

• Mean

Answer explanation

The length of the box in a box plot represents the Interquartile range (IQR), which is the range of the middle 50% of the data, making it the correct choice.

What does point C on the box plot represent?

• First Quartile

• Median

• Third Quartile

• Mean

Answer explanation

Point C on the box plot represents the Median, which is the middle value of the dataset when arranged in ascending order. It divides the data into two equal parts.

What do points A and E represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

• First and Third Quartiles

Answer explanation

Points A and E on the box plot represent the Least and Greatest Value respectively, making 'Least and Greatest Value' the correct choice.

What is the interquartile range (IQR)?

• 20

• 25

• 30

• 50

Answer explanation

The interquartile range (IQR) is the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. In this case, the IQR is 20, which is the correct answer choice.

What is the median of the data set?

• 80

• 167

• 122

• 98

Answer explanation

The correct answer is 122 because the median is the middle value when the data set is ordered from least to greatest, and in this case, 122 is the middle value.

What is the value of the third quartile Q3?

• 3

• 4

• 6

• 9

Answer explanation

The value of the third quartile Q3 is 6, which is the correct answer choice provided.

Which box and whisker plot has the smallest lower quartile (Q1)?

• Top plot

• Bottom plot

Answer explanation

The bottom plot has the smallest lower quartile (Q1) as it is positioned lower than the lower quartile of the top plot.