HSS.ID.A.4
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.
Example Problems
The grades on a biology midterm at Northgate are roughly symmetric with and . Lucas scored 65 on the exam.
Find the z-score for Lucas's exam grade.
Round to two decimal places.
Find the z-score for Lucas's exam grade.
Round to two decimal places.
You have found the following ages (in years) of all 4 rhinos at your local zoo:
What is the standard deviation of the age of the rhinos at your zoo? Round your answers to the nearest tenth.
What is the standard deviation of the age of the rhinos at your zoo? Round your answers to the nearest tenth.
The following data points represent the apples picked by a group of 5 friends.
Find the standard deviation of the data set.
Round your answer to the nearest hundredth.
Find the standard deviation of the data set.
Round your answer to the nearest hundredth.
Khan Academy ResourcesBasic normal calculationsEmpirical ruleCalculating z-scoresNormal distribution: Area between two pointsNormal distribution: Area above or below a pointNormal calculations in reverseCalculate percentilesQualitative sense of normal distributionsNormal distribution problems: Empirical ruleCalculating percentileComparing with z-scoresFinding z-score for a percentileStandard normal table for proportion aboveStandard normal table for proportion between valuesStandard normal table for proportion belowZ-score introductionThreshold for low percentile

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