This worksheet gives Grade 6 students ten problems on the mean, median, range, interquartile range, and mean absolute deviation. The problems begin with a single measure and move toward finding missing values and comparing two data sets.
The last three problems are word problems about quiz scores, basketball, and allowances, where an outlier changes the answer. Every problem practices Common Core standards 6.SP.A.3 and 6.SP.B.5. Order the data first and show every step.
Problem 1: Find the mean
Find the mean of the data 4, 7, 9, and 12.
Problem 2: Median, odd count
Find the median of 15, 9, 12, 20, and 11.
Problem 3: Median, even count
Find the median of 8, 3, 10, 5, 6, and 12.
Problem 4: Find the range
The heights of five plants are 23, 18, 31, 25, and 40 centimeters. Find the range.
Problem 5: Quartiles and IQR
Find \(Q_1\), the median, \(Q_3\), and the IQR of 12, 3, 9, 18, 6, 15, 4, 10, 7, and 13.
Problem 6: Find the MAD
Find the mean absolute deviation of 4, 6, 6, 8, and 11.
Problem 7: Missing value
The mean of four numbers is 12. Three of the numbers are 10, 15, and 9. Find the fourth number.
Problem 8: Effect of an outlier
Ethan’s quiz scores are 88, 92, 90, 86, 94, and 30. (a) Find the mean. (b) Find the median. (c) Which measure better describes his typical score? Explain.
Problem 9: Basketball consistency
Maya scored 14, 16, 16, and 18 points in four games. Diego scored 8, 12, 20, and 24 points. (a) Find each mean. (b) Find each MAD. (c) Who is more consistent?
Problem 10: Allowance survey
Seven students’ weekly allowances are \(\$8\), \(\$10\), \(\$10\), \(\$12\), \(\$12\), \(\$14\), and \(\$46\). (a) Find the mean. (b) Find the median. (c) Which is a better measure of the typical allowance? (d) Find the mean without the \(\$46\).
See every chapter on the Grade 6 math page.