Practice questions available in **McGraw Hill Math Grade 6 Answer Key PDF** **Lesson 25.3 Box-and-Whisker Plots** will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 25.3 Box-and-Whisker Plots

**Exercises**

**SOLVE**

Question 1.

What is the approximate median of the data in the box-and-whisker plot?

Answer:

A box and whisker plot is defined as a graphical method of displaying variation in a set of data.

From the above plot, we can say that the median is 75.

Question 2.

The middle 50% of the data is between what two values?

Answer:

The minimum value is 65

Maximum value is 100

First Quartile Q1 = 73.5

Third Quartile Q3 = 91.25

Q3 – Q1 = 91.25 – 73.5 = 17.75

Question 3.

What is the range of the data in the box-and-whisker plot?

Answer:

Highest value = 20

Lowest value = 5

Range = 20 – 5 = 15

The range of the data in the box-and-whisker plot is 15.

Question 4.

What is the approximate range of the lowest 25% of the data in the box-and-whisker plot?

Answer:

The left whisker represents the bottom 25% of the data.

So, 152 is the lowest 25% of the data in the box-and-whisker plot.

Question 5.

What is the range of the top 75% of the scores in the box-and-whisker plot?

Range: ___________

Answer:

Q3 is the upper quartile that represents the top 75% of the scores in the box-and-whisker plot.

Range = 20 – 2

Range = 18

So, 18 is the range of the top 75% of the scores in the box-and-whisker plot

Question 6.

What is the range and median of the box and-whisker plot?

Range: ___________

Median: ____________

Answer:

Range = Highest – Lowest

Range = 11 – 6

Range = 5

The median divides the data set into two sets.

So, 8 is the median of the box and-whisker plot.

Question 7.

What is the approximate range of the third quartile?

Answer:

The third Quartile is the upper quartile (Q3) = 12.

Question 8.

What can you determine about the different quartiles in the box-and-whisker plot?

Answer:

The first step in constructing a box-and-whisker plot is to first find the median (Q2), the lower quartile (Q1) and the upper quartile (Q3) of a given set of data.

You are now ready to find the interquartile range (IQR).

The interquartile range is the difference between the upper quartile and the lower quartile.

IQR = 11 – 9 = 2

Question 9.

What can you say about a student who weighs 155 lbs, if he is part of the group below?

Answer:

155 is the median of the box and-whisker plot.

Question 10.

What is the median of the box-and-whisker plot?

Answer:

Q2 = 0.94

Q2 represents the median of the box-and-whisker plot.

So, 0.94 is the median of the box-and-whisker plot.