Measures of Center and Spread

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 10 Math Probability and StatisticsCenter and Spread

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Includes

4 Short AnswerTrue / FalseMultiple ChoiceFill in the Blanks

Standards

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

Topics

statisticsdata analysismeanmedianmoderangeinterquartile rangestandard deviation

9 sections · Free to use · Printable

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Measures of Center and Spread

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work where applicable.

1. Consider the following data set: 12, 15, 18, 12, 20, 16, 17, 19, 12, 14, 18.

a) Calculate the mean of the data set.

b) Find the median of the data set.

c) Determine the mode of the data set.

2. True or False: The mean is always a good measure of center, even in the presence of outliers.

True

False

3. A teacher recorded the test scores of two different classes:

Class A: 75, 82, 88, 79, 90, 85, 81

Class B: 60, 95, 70, 100, 65, 90, 80

a) Calculate the range for Class A.

b) Calculate the range for Class B.

c) Which class has a greater spread in test scores according to the range?

4. For the data set: 5, 8, 10, 12, 15, 18, 20, 22, 25, 28, 30.

a) Find the interquartile range (IQR).

b) Briefly explain what the IQR tells us about the data.

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

Mean

Median

Range

Interquartile Range

6. A company recorded the number of sales made by its employees in a week:

Sales: 15, 18, 20, 22, 25, 28, 30, 32, 35, 50

a) Calculate the standard deviation for this data set. (Round to two decimal places)

b) What does a large standard deviation indicate about the sales data?

7. The is the value that appears most often in a data set.

8. The difference between the maximum and minimum values in a data set is called the .