MR.D.ND.A.1
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
A running club recorded a sample of 4 training runs. Here are the distances (in miles):
The mean of these distances is .
What is the standard deviation, ?
Round your answer to two decimal places.
The mean of these distances is .
What is the standard deviation, ?
Round your answer to two decimal places.
A tutor recorded quiz scores for a sample of 7 students. Here are the scores (in points):
The mean of these scores is .
What is the standard deviation, ?
Round your answer to two decimal places.
The mean of these scores is .
What is the standard deviation, ?
Round your answer to two decimal places.
A veterinarian weighed a sample of 6 puppies. Here are their weights (in kilograms):
The mean of these weights is kg.
What is the standard deviation, ?
Round your answer to two decimal places.
The mean of these weights is kg.
What is the standard deviation, ?
Round your answer to two decimal places.
Khan Academy ResourcesBasic normal calculationsEmpirical ruleCalculating z-scoresNormal distribution: Area between two pointsNormal distribution: Area above or below a pointCreate two-way frequency tablesInterpret two-way tablesNormal calculations in reverseRead two-way frequency tablesCalculate percentilesAnalyze two-way frequency tablesQualitative sense of normal distributionsNormal distribution problems: Empirical ruleCalculating percentileTwo-way frequency tables and Venn diagramsComparing with z-scoresFinding z-score for a percentileInterpreting two-way tablesStandard normal table for proportion aboveTwo-way relative frequency tablesStandard normal table for proportion between valuesStandard normal table for proportion belowZ-score introductionThreshold for low percentile

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