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**Unformatted text preview: **down to the x-axis at these points, you’d be at 77 inches (one standard deviation less
than the mean) and 83 inches (one standard deviation greater than the mean).
Question: Below is another graph with 3 normal curves. For each curve, match the curve
with the correct mean and standard deviation from the list below.
choices for the mean: 20, 40, 50, 60, 70, 80
choices for the standard deviation: 5, 10, 15, 20 0.08 Normal Distribution 0.04 curve 3 curve2 0.0 0.02 density 0.06 curve 1 0 20 40 60 80 100 x Answer:
Curve 1: Mean
20 standard deviation
5 Curve 2: 50 20 Curve 3: 70 10 The 68-95-99.7 Rule for Normally Distributed Data If the data follow a normal distribution, then:
Approximately 68% of the data fall within 1 standard deviation of the mean
Approximately 95% of the data fall within 2 standard deviations of the mean
Approximately 99.7% of the data fall within 3 standard deviations of the mean Example 8.3
Suppose an observation from data that are normally distributed is one standard deviation less than
the mean.
Question 1: Which of the following notations would we u...

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