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 lies within 2 SD of the mean.
Normal distribution basics is a grade 10 math skill aligned to Common Core standard 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. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 15 normal distribution basics problems our math games drill.
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 lies within 2 SD of the mean.
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 lies within 3 SD of the mean.
A normal distribution has mean and standard deviation . What value is 1 standard deviation above the mean?
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A normal distribution has mean and standard deviation . What value is 2 standard deviation below the mean?
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A normal distribution has mean and standard deviation . What value is 1 standard deviation below the mean?
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In a normal distribution, what percent of the data lies above the mean? (Enter percent.)
A normal curve is symmetric about the mean, so lies above it.
Quiz scores are approximately normally distributed with mean and standard deviation . By the empirical rule, about what percent of scores are between and ? (Enter the number of percent.)
and are each points, or 2 standard deviations, from the mean , so by the empirical rule about of scores fall between them.
For a normal distribution, approximately what percent of data lies more than 2 standard deviations from the mean (counting both tails)? (Use the empirical rule; enter the number of percent.)
About of the data lies within 2 SD of the mean, so lies more than 2 SD away.
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