From the course: Excel Statistics Essential Training: 1
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Continuous: Calculating normal distribution probabilities - Microsoft Excel Tutorial
From the course: Excel Statistics Essential Training: 1
Continuous: Calculating normal distribution probabilities
- [Instructor] The empirical rule tells us that in a normal distribution, about 68% of the distribution of data is within one standard deviation of the mean, 95% is within two standard deviations of the mean, and 99.7% is within three standard deviations of the mean. But how much of the distribution is within the range of negative 1.5 standard deviations and positive 0.5 standard deviations from the mean? Well with the use of Z-score tables, we can find normal distribution values for Z-scores of positive 0.5 and negative 1.5. And here we can see those normal distribution values. We can also see what exactly those numbers mean. This should be enough information to answer our question. First, here's what those two Z-scores and the associated normal distribution values look like on our normal curve. Remember, we're looking for the area under the curve pointed out by the red arrow. Notice we know 30.85% of the distribution is…
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