Georgia 6.NR.2.4

Math6th GradeNumerical Reasoning

The Standard

Design simple experiments and collect data. Use data gathered from realistic scenarios and simulations to determine quantitative measures of center (median and/or mean) and variability (interquartile range and range). Use these quantities to draw conclusions about the data, compare different numerical data sets, and make predictions.

Georgia's K-12 Mathematics Standards · Apply operations with whole numbers, fractions and decimals within relevant applications.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students design a simple experiment, record numerical results, and calculate mean, median, range, and interquartile range. They use those measures to compare data sets, explain patterns, and make reasonable predictions.

What Mastery Looks Like

Given two data sets, students calculate each measure accurately and choose measures that support a comparison. They explain what the values mean in context and use the data to justify a prediction.

Common Misconceptions

Students may find the median before ordering values or divide by the wrong count when finding the mean. They often confuse range with interquartile range or handle the median incorrectly when finding quartiles. Some assume a larger mean means more consistent data, ignoring variability.

How to Assess It

Exit ticket: For A = 4, 5, 5, 6, 6, 7, 7, 8 and B = 1, 3, 5, 6, 6, 7, 9, 11, find the mean, median, range, and IQR. Which set is more consistent, and what measure supports your answer?

Lesson moves

Ways to Teach It

  1. In groups, students drop a paper helicopter five times from the same height, record flight times, then calculate mean, median, range, and IQR.

  2. Compare the data sets 4, 5, 5, 6, 6, 7 and 2, 4, 5, 6, 7, 9, then write which is more predictable and why.

  3. Play Measure Match: students pair data cards with matching mean, median, range, and IQR cards, then check with a partner.

  4. Use daily high temperatures from two recent weeks, calculate center and spread, then predict which week would feel more consistent.

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