Center and Spread Worksheet

This worksheet focuses on understanding and calculating measures of center (mean, median, mode) and spread (range, interquartile range, standard deviation) for various data sets.

Grade 11 Math Probability and StatisticsCenter and Spread

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseCustom

Standards

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

Topics

statisticsdata analysismeanmedianmoderangeIQRstandard deviation

8 sections · Free to use · Printable

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Center and Spread: Data Analysis

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work for calculations.

1. Calculate the mean, median, and mode for the following data set:

Data Set: 12, 15, 18, 12, 20, 22, 15, 12, 18, 15, 10

Mean:

Median:

Mode:

2. The is the difference between the highest and lowest values in a data set, providing a simple measure of spread.

3. The Interquartile Range (IQR) measures the spread of the middle of the data.

4. A high standard deviation indicates that data points are generally from the mean, while a low standard deviation indicates they are clustered closely around the mean.

5. Which measure of center is most affected by outliers?

Median

Mode

Mean

Range

6. For the data set: 5, 8, 10, 12, 15, 18, 20

Calculate the Range:

Calculate the Interquartile Range (IQR):

7. The median is always one of the values in the data set.

True

False

8. Draw a simple bar graph to represent the following frequencies:

Category A: 5, Category B: 8, Category C: 3, Category D: 6