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Quartiles Worksheet

A Grade 10 math worksheet covering the calculation and interpretation of quartiles and interquartile range.

Grade 10 Math Probability and StatisticsQuartiles
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathquartilesstatisticsdata analysisgrade 10
8 sections · Free to use · Printable
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Quartiles and Interquartile Range

Name:

Date:

Score:

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

1. Define what quartiles are in the context of a data set. How many quartiles divide a data set, and what percentage of data falls into each section?

2. For the data set: 12, 15, 18, 20, 22, 25, 28, 30, 32, 35, 38, 40

The median (Q2) is  .

The first quartile (Q1) is  .

The third quartile (Q3) is  .

3. Given the data set: 5, 8, 10, 12, 15, 18, 20, 24, 25, 28, 30. Calculate the Interquartile Range (IQR).

4. A student scored in the 75th percentile on a test. Which quartile does this score fall into?

a

First Quartile (Q1)

b

Second Quartile (Q2)

c

Third Quartile (Q3)

d

Fourth Quartile (Q4)

5. The Interquartile Range (IQR) is a measure of variability that describes the spread of the middle 50% of a data set.

T

True

F

False

6. A company recorded the number of sales made by its employees in a month: 10, 12, 15, 18, 20, 22, 25, 28, 30, 35. Construct a box-and-whisker plot for this data, indicating the minimum, maximum, Q1, Q2, and Q3 values. (You can sketch the plot or list the values)

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