Worked Example 1
Changing an Extreme Value
- 1Original mean: (10 + 12 + 14 + 15 + 19) ÷ 5 = 70 ÷ 5 = 14. Median: 14.
- 2New mean: (10 + 12 + 14 + 15 + 49) ÷ 5 = 100 ÷ 5 = 20
- 3The median is still the middle value, 14.
Florida Grade 6 Math · Data Analysis and Probability
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
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 Example 1
Worked Example 2
The median depends on the middle value. Changing the largest value usually leaves it the same.
Every value shifts by 3, so the mean goes up by 3, but the range stays the same.
Use a real example, like test scores: ask what happens to the class average if one score is changed from 70 to 100.
Help your child build math confidence with original interactive questions aligned with Florida's B.E.S.T. Mathematics Standards.
Start Practicing FreeIndependent 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.