Percentiles
Standardized Scores (Z-Scores)
Normal Distribution
Empirical Rule
Using the Z-Score Chart
1

Is the 15th percentile bad when ranking a country on poverty?

Yes, because 85% of countries are better at dealing with poverty.

1

What is the formula used to calculate a Z-Score?

(Value - Average) / Standard Deviation

1

How much data lies below the normal distribution line?

All of it

1

How much data typically lies within 1 standard deviation from the average?

68%

1

What is the percent of data that lies below the value if the z-score is 2?

Approximately 98%

1

Many professional schools require applicants to take a standardized test. Several weeks after the test, Pete receives his score report. He got a 63 out of 100, which placed him in the 83rd percentile. This means...

Pete did approximately better than 83% of other students.

1

What is the z-score if the value is 4, the average is 3, and the standard deviation is 0.5?

2

1

How many standard deviations do we typically calculate from the average?

3 above and 3 below

1

How much data lies below one standard deviation from the average?

16%

1

Which Z-score is closest to the 72nd percentile?

0.6

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