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M414 chapter 3 worksheet 4 2025

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The document is a worksheet focused on the Empirical Rule and Normal Distribution, designed for students to analyze data related to a normally distributed set of biology test scores. It includes questions about the distribution of values in relation to the mean and standard deviations, as well as specific percentage calculations based on given score ranges.

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What percentage of scores is greater than a score of 80?

1 Expert Answer Using a normal distribution table, it can be found that P(80 < z) = . 5 (this is the probability that a random score would be greater than 80. It makes sense that it is . 5 or 50% because 80 is the mean.)

What is the score that is 1 standard deviation above the mean?

Results of zero show the point and the mean equal. A result of one indicates the point is one standard deviation above the mean and when data points are below the mean, the Z-score is negative.

What percentage of score are between 65 and 75?

We know from part b that the percentage from 65 to 75 is 47.5%.

normal distribution practice worksheet

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How many standard deviations is 80?

the empirical rule is 68-95-99 or roughly 68% within one standard deviation of the mean, 95% within two, and 99% within 3. 80% be somewhere between 1 and 2 standard deviations from the mean.

What percentage of score are between 65 and 75?

We know from part b that the percentage from 65 to 75 is 47.5%.

What is the percentage of scores between 70 and 80?

From the graph we can see that 68% of the students had scores between 70 and 80. For this problem we need a bit of math. If you looked at the entire curve, you would say that 100% of all of the test scores fall under it.

What is the z-score for 95 confidence interval?

The critical z-score values when using a 95 percent confidence level are -1.96 and +1.96 standard deviations.

How do you find the percentage of a score greater than?

6:04 7:54 We need to find the area on the right. This small area here. So again we'll first find theMoreWe need to find the area on the right. This small area here. So again we'll first find the probability that x is greater than 135.

M414 chapter 3 worksheet 4 2025

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How many standard deviations is 80?

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What is the percentage of scores between 70 and 80?

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