M414 Chapter 3 Form
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People also ask empirical rule worksheet
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What does it mean when there is 3 standard deviations?
Three standard deviations account for 99.73% of the sample population being studied, assuming the distribution is normal or bell-shaped (see the 68–95–99.7 rule, or the empirical rule, for more information).
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What is 3 standard deviations away from the mean?
The empirical rule states that in a normal distribution, virtually all observed data will fall within three standard deviations of the mean. Under this rule, 68% of the data will fall within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations from the mean.
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What does it mean to be 3 standard deviations away from the mean?
The empirical rule states that in a normal distribution, virtually all observed data will fall within three standard deviations of the mean. Under this rule, 68% of the data will fall within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations from the mean.
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What is 3 times standard deviation?
Three standard deviations account for 99.73% of the sample population being studied, assuming the distribution is normal or bell-shaped (see the 68–95–99.7 rule, or the empirical rule, for more information).
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How rare are 3 standard deviations?
For k = 3, the CDF value is approximately 0.9987, which means that the probability of a data point falling within 3 standard deviations of the mean is about 99.87%. Conversely, the probability of a data point falling outside this range is about 1 - 0.9987 = 0.0013, or 0.13%.
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Is an outlier 3 standard deviations from the mean?
Values that are greater than +3 standard deviations from the mean, or less than -3 standard deviations, are included as outliers in the output results.
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How much is 3 standard deviations from the mean?
For an approximately normal data set, the values within one standard deviation of the mean account for about 68% of the set; while within two standard deviations account for about 95%; and within three standard deviations account for about 99.7%.
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What percentage of scores are between 75 and 82?
To find the percentage of scores within different ranges, we need to calculate the z-scores and use the standard normal distribution table. Between 61 and 82, approximately 81.85% of scores fall. Between 75 and 82, approximately 34.13% of scores are observed.
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