Grade 6 · Statistics & probability

Measures of center and variability practice

Measures of center and variability is a grade 6 math skill aligned to Common Core standard 6.SP.B.5: summarize numerical data sets in relation to their context, reporting measures of center and variability. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 16 measures of center and variability problems our math games drill.

CCSS 6.SP.B.516 questions in the bank
Sample questions

Try 8 for free

Question 1easy

Find the mean of the data set 6, 6, 9, 12, 12.

Mean =6+6+9+12+125=9= \dfrac{6+6+9+12+12}{5} = 9.

Question 2easy

Find the median of 3, 7, 9.

Order the data and take the middle value(s): median =7= 7.

Question 3easy

Find the mode of the data set 4, 4, 7, 9, 10, 11.

The mode is the value that appears most often. Only 44 appears twice, so the mode is 44.

Question 4easy

Find the range of 4, 9, 2, 7.

Range =max⁡−min⁡=9−2=7= \max - \min = 9 - 2 = 7.

Question 5easy

Find the mean of the data set 3, 8, 10.

Mean =3+8+103=7= \dfrac{3+8+10}{3} = 7.

Question 6easy

Find the median of 2, 4, 6, 8.

Order the data and take the middle value(s): median =5= 5.

Question 7easy

Find the range of 10, 3, 15, 6.

Range =max⁡−min⁡=15−3=12= \max - \min = 15 - 3 = 12.

Question 8easy

Find the mean of the data set 1, 4, 4, 7, 9.

Mean =1+4+4+7+95=5= \dfrac{1+4+4+7+9}{5} = 5.

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Math games for Grade 6

Questions like these are served inside our head-to-head math games.

Blaster Gate gameBlaster GateBlast through the wall. First to clear wins.Blitz Tanks gameBlitz TanksSolve math to load shells. Out-think the battalion. Last math standing wins.Bullseye Blitz gameBullseye BlitzAnswer true, loose your arrow — string a streak and shoot fire.Slam Streak gameSlam StreakAnswer to sink the shot — build a streak and catch fire.
Tests that cover measures of center and variability:
SBACACTNAEPSC READYVTCAP
More Grade 6 skills:
Decimal operationsFraction-decimal-percent conversionOrder of operationsAbsolute valueArea formulas (triangle, parallelogram, trapezoid)Custom unit conversionsExponents notationMean change from data set editsAll Grade 6 practice →

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