Quartiles and Data Analysis Worksheet

A Grade 11 math worksheet focusing on understanding and calculating quartiles, interquartile range, and interpreting box plots.

Grade 11 Math Probability and StatisticsQuartiles

Use This Worksheet

Includes

Fill in the Blanks2 Short AnswerTrue / FalseMultiple Choice

Standards

CCSS.MATH.CONTENT.HSS.ID.A.1CCSS.MATH.CONTENT.HSS.ID.A.2CCSS.MATH.CONTENT.HSS.ID.A.3

Topics

quartilesstatisticsdata analysisbox plotsinterquartile range

7 sections · Free to use · Printable

Quartiles and Data Analysis

Name:

Date:

Score:

Read each question carefully and provide your answers in the space provided. Show all your work for calculation questions.

1. Quartiles divide a data set into equal parts, with each part representing % of the data.

2. The second quartile (Q2) is also known as the .

3. The Interquartile Range (IQR) is calculated by subtracting the from the .

4. Consider the following data set: 12, 15, 18, 20, 22, 25, 28, 30, 32, 35, 38, 40.

a) Find the first quartile (Q1).

b) Find the second quartile (Q2).

c) Find the third quartile (Q3).

d) Calculate the Interquartile Range (IQR).

5. The Interquartile Range (IQR) is always a measure of spread that is resistant to outliers.

True

False

6. A data set with an IQR of 0 indicates that all data points are identical.

True

False

7. Which of the following is NOT a measure of central tendency?

Mean

Median

Mode

Interquartile Range

8. What percentage of data falls between the first quartile (Q1) and the third quartile (Q3)?

25%

50%

75%

100%

9. The following box plot represents the scores of students on a math test.

a) What is the median score?

b) What is the Interquartile Range (IQR) of the scores?

c) What is the range of the scores?

d) What percentage of students scored between 60 and 90?