HSS.ID.A.4 math practice. Learn by doing.

HSS.ID.A.4 practice covers use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 101 mapped skills
What it covers

Skills aligned to HSS.ID.A.4

Normal distribution basics

Grade 1026 questions
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8 free questions · 0/0 correct

Practice playeasy

For a normal distribution, approximately what percent of the data lies within 22 standard deviations of the mean? Use the empirical rule.

By the empirical rule, about 95%95\% of the data lie within 22 standard deviations of the mean.

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For a normal distribution, approximately what percent of data lies within 2 standard deviations of the mean? (Use the empirical rule; enter the number of percent.)

By the empirical rule, about 95%95\% lies within 2 SD of the mean.

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For a normal distribution, approximately what percent of the data lies within 33 standard deviations of the mean? Use the empirical rule.

By the empirical rule, about 99.7%99.7\% of the data lie within 33 standard deviations of the mean.

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For a normal distribution, approximately what percent of data lies within 3 standard deviations of the mean? (Use the empirical rule; enter the number of percent.)

By the empirical rule, about 99.7%99.7\% lies within 3 SD of the mean.

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A normal distribution has mean 5050 and standard deviation 5.5\textsf{.} What value is 22 standard deviations below the mean?

50−2×5=40.50 - 2 \times 5 = 40\textsf{.}

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A normal distribution has mean 100100 and standard deviation 1515. What value is 1 standard deviation above the mean?

100+1×15=115100 + 1\times15 = 115.

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In a normal distribution, what percent of the data lies above the mean?

A normal curve is symmetric about the mean, so 50%50\% of the data lie above the mean.

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A normal distribution has mean 5050 and standard deviation 55. What value is 2 standard deviation below the mean?

50−2×5=4050 - 2\times5 = 40.

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Practice HSS.ID.A.4 inside a game.

The placement test chooses the right difficulty while every match keeps the standard in play.

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Tests that assess these skills:
ACTNAEPNY State MathSBACVTCAP
Test reporting domains
ACT All grades: Preparing for Higher MathMAP Growth Math 6+: Statistics and ProbabilitySBAC High School: Concepts and ProceduresNAEP Grade 12: Data Analysis, Statistics, and ProbabilityACT Aspire All grades: Integrating Essential SkillsACT Aspire All grades: Preparing for Higher Math
Nearby standards
HSS.ID.A.2All Common Core standards