Box Plot Skills Quiz

What is the minimum value?

• 64

• 58

• 66

• 60

Answer explanation

The minimum value is 58, which is the smallest among the given choices.

What do points B and D represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

• First and Third Quartiles

Answer explanation

Points B and D on a box plot represent the First and Third Quartiles respectively, making them the correct choice.

What is the approximate difference in the interquartile ranges?

• 20

• 12

• 32

• 40

Answer explanation

The correct answer is 12 because the interquartile range is the difference between the 75th and 25th percentiles of a dataset. The approximate difference between the two interquartile ranges provided is 12.

What is the maximum score on the 6TH Grade Math Test?

• 78

• 85

• 93

• 97

Answer explanation

The maximum score on the 6th Grade Math Test is 97, as it is the highest value among the answer choices provided.

What is the interquartile range for the Checkers Club?

• 4

• 5

• 10

• 11

Answer explanation

The interquartile range is the difference between the 75th percentile and the 25th percentile. In this case, the interquartile range for the Checkers Club is 5, which is the correct answer choice.

What does the line inside the box of a box plot represent?

• The mean of the data set

• The maximum value of the data set

• The median of the data set

• The minimum value of the data set

Answer explanation

The line inside the box of a box plot represents the median of the data set.

If the interquartile range (IQR) of a data set is 12, and the first quartile (Q1) is 20, what is the third quartile (Q3)?

• 8

• 32

• 12

• 20

Answer explanation

The third quartile (Q3) can be found by adding the IQR to Q1. Therefore, Q3 = Q1 + IQR = 20 + 12 = 32.

Which of the following is NOT true about box plots?

• They can be used to compare the distribution of different data sets.

• They show the mean of the data set.

• They provide a visual representation of the data's quartiles.

• They can identify outliers in the data set.

Answer explanation

Box plots do not show the mean of the data set, they display the median instead.

How do you calculate the interquartile range (IQR) of a data set?

• Subtract the minimum value from the maximum value.

• Subtract the first quartile (Q1) from the third quartile (Q3).

• Add the first quartile (Q1) and the third quartile (Q3) and divide by 2.

• Subtract the median from the mean.

Answer explanation

To calculate the interquartile range (IQR) of a data set, you subtract the first quartile (Q1) from the third quartile (Q3).

When creating a box plot, which of the following is the correct order of steps?

• Find the median, identify the quartiles, plot the minimum and maximum, draw the box and whiskers.

• Identify the quartiles, find the median, draw the box, plot the minimum and maximum, and draw the whiskers.

• Plot the minimum and maximum, find the median, identify the quartiles, draw the box and whiskers.

• Identify the quartiles, plot the minimum and maximum, find the median, draw the box and whiskers.

Answer explanation

The correct order of steps when creating a box plot is to find the median, identify the quartiles, plot the minimum and maximum, and then draw the box and whiskers.