A key property of the normal distribution is that a certain percentage of data values are within 1, 2 and 3 standard deviations of the mean:
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If a test is normally distributed with a mean of 60 and a standard deviation of 10, what proportion of the scores are above 85? This problem is very similar to
normal_distribution_overview.pdf
That is, rather than directly solve a problem involving a normally distributed variable X with mean µ and standard deviation ?, an indirect approach is used 1
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Q3] The percentage of days less than 67 2 degrees Notice that 67 2 is two standard deviations below the mean So I have 95 of the observations between 67 2
Lab2_NormalDist_Solutions.pdf
The standard deviation of a density curve is denoted ? (sigma) Example culate cumulative proportions under the normal distribution
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The mean and standard deviation of the actual distribution represented by The Normal curve is used to find proportions from the entire population,
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Example 7) The mean of a test is 76 with a standard deviation of 8 a) What percentage of scores would be between 81 and 90? low) We can do
Standard-Deviation-and-Normal-Distribution-Completed-Notes2.pdf
50 of the data are less than µ, so the percentage of data values less than µ + ? is 50 + 34 or 84 Therefore, the probability that a teen selected at
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