6.SP.B.5 math practice. Learn by doing.

6.SP.B.5 practice covers summarize numerical data sets in relation to their context, reporting measures of center and variability. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 62 mapped skills
What it covers

Skills aligned to 6.SP.B.5

Mean change from data set edits

Grade 610 questions

Measures of center and variability

Grade 616 questions
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8 free questions · 0/0 correct

Practice playeasy

A weather station records five daily rainfall amounts, in inches: 11, 22, 33, 44, and 55. The lowest amount, 11 inch, is removed from the data set. How does this affect the mean?

The mean of the original five amounts is 1+2+3+4+55=3\dfrac{1+2+3+4+5}{5}=3 inches. Because 1<31<3, removing the smallest value raises the mean.

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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.

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A runner logs five lap times, in seconds: 1818, 2020, 2222, 2424, and 2626. A sixth lap time of 1616 seconds is added to the data set. How does this affect the mean?

The mean of the original five times is 18+20+22+24+265=22\dfrac{18+20+22+24+26}{5}=22 seconds. Because 16<2216<22, adding 1616 pulls the mean down.

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Find the median of 3, 7, 9.

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

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A biologist measures five plant heights, in inches: 5858, 6060, 6262, 6464, and 6666. The tallest plant, 6666 inches, is removed from the data set. How does this affect the mean?

The mean of the original five heights is 58+60+62+64+665=62\dfrac{58+60+62+64+66}{5}=62 inches. Because 66>6266>62, removing the largest value lowers the mean.

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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.

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A bookstore tracks five daily sales totals, in dollars: 1010, 1515, 2020, 2525, and 3030. A sixth day with sales of 2020 is added to the data set. How does this affect the mean?

The mean of the original five totals is 10+15+20+25+305=20\dfrac{10+15+20+25+30}{5}=20 dollars. Because the new value equals the current mean, the mean stays 2020.

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

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

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Tests that assess these skills:
ACTNAEPSBACSC READYVTCAP
Test reporting domains
SAT All grades: Problem-Solving and Data AnalysisACT All grades: Integrating Essential SkillsACT All grades: Preparing for Higher MathSTAAR Grade 6: Data Analysis, Personal Financial Literacy, and ProbabilitySTAAR Grade 7: Data Analysis, Personal Financial Literacy, and ProbabilityMAP Growth Math 6+: Statistics and Probability
Nearby standards
6.SP.A.1All Common Core standards