Florida Grade 6 Math · Data Analysis and Probability

MA.6.DP.1.6: How Changes in Data Affect the Measures

What this Grade 6 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

What Is Benchmark MA.6.DP.1.6?

Students describe how changing data values affects the measures of center (mean and median) and variation (range and interquartile range), and choose the best measure for a situation.

The mean and range are sensitive to extreme values. The median and IQR are resistant: they barely change when one value is very large or very small.

Official benchmarkGiven a real-world scenario, determine and describe how changes in data values impact measures of center and variation.

On the FAST test: part of the Grade 6 reporting category Geometric Reasoning, Data Analysis, and Probability, which is about 25–36% of the test.

Worked Examples

Worked Example 1

Changing an Extreme Value

Data: 10, 12, 14, 15, 19. The 19 is changed to 49. What happens to the mean and median?
  1. 1Original mean: (10 + 12 + 14 + 15 + 19) ÷ 5 = 70 ÷ 5 = 14. Median: 14.
  2. 2New mean: (10 + 12 + 14 + 15 + 49) ÷ 5 = 100 ÷ 5 = 20
  3. 3The median is still the middle value, 14.
Answer: The mean rises from 14 to 20; the median stays 14.

Worked Example 2

Choosing a Measure

Home prices in a neighborhood include one mansion that costs much more than the others. Which measure best describes a typical price?
  1. 1The mansion's price pulls the mean up.
  2. 2The median is not affected much by one extreme value.
Answer: The median

Common Mistakes to Watch For

Thinking every change affects the median

Wrong:Changing the largest value always changes the median.

The median depends on the middle value. Changing the largest value usually leaves it the same.

Thinking adding the same amount to every value changes the spread

Wrong:Adding 3 to every value increases the range by 3.

Every value shifts by 3, so the mean goes up by 3, but the range stays the same.

Helpful Math Tip

Use a real example, like test scores: ask what happens to the class average if one score is changed from 70 to 100.

Related Grade 6 Skills

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Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.