z-scores & frequency

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6 Terms

1
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What does a z-score indicate?

How many stdevs above/below the mean an observation is.

2
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Formula for calculating z-score

z = xi - μ / σ

3
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Formula for calculating a sample value based off z-score

xi = zσ + μ

4
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<p>What is cumulative relative frequency?</p>

What is cumulative relative frequency?

The total percentage of observations at or below the value.

5
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<p>How do you use a z-table?</p>

How do you use a z-table?

The 4-digit values are the percentiles, and the x and y-axes are the corresponding z-scores.

6
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<p>Use the z-table to calculate the z-score of a 28th percentile.</p>

Use the z-table to calculate the z-score of a 28th percentile.

Locate 0.2800 in the table (it’s negative because 28th is left of the median). The closest z-score is -0.58.