Grade 7 Math: Measures of Variation

Explore measures of variation including range, interquartile range (IQR), and mean absolute deviation (MAD) with this comprehensive Grade 7 math worksheet.

Grade 7 Math Data and GraphingStatisticsMeasures of Variation

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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.SP.B.3CCSS.MATH.CONTENT.7.SP.B.4

Topics

mathgrade 7measures of variationrangeIQRMADstatistics

8 sections · Free to use · Printable

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Measures of Variation

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Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. The is the difference between the highest and lowest values in a data set.

2. The is the range of the middle 50% of the data.

3. The measures the average distance between each data point and the mean.

1. Find the range of the following data set: 12, 15, 9, 20, 18, 10.

2. A basketball player scored the following points in her last 5 games: 25, 18, 30, 22, 10. What is the range of her scores?

1. For the data set: 5, 8, 10, 12, 15, 18, 20, find the IQR.

2. The daily temperatures (in °C) for a week were: 10, 12, 15, 11, 13, 16, 14. Calculate the IQR for these temperatures.

1. Find the Mean Absolute Deviation (MAD) for the data set: 2, 4, 6, 8.

2. A student's scores on five quizzes were: 70, 80, 75, 85, 90. Calculate the MAD for these scores.

1. Which measure of variation is least affected by outliers?

Range

Mean

Interquartile Range (IQR)

Mean Absolute Deviation (MAD)

2. A data set has values 10, 10, 10, 10, 10. What is its range?

Undefined

1. The range is always a positive value.

True

False

2. A larger MAD indicates more variability in the data.

True

False