107_7.1_notes_flashcard

Front

How many measurements are within three standard deviations of the mean?

Back

8670

Front

The Empirical Rule demonstrates how areas under the curve represent ________ from the population.

Back

proportions

Front

If the area to the left of a z-score is 0.68, what is the z-score?

Back

-0.47

Front

What is the z-score that has an area of 0.26 to its left?

Back

-0.64

Front

The normal distribution follows the ____. A) Central Limit Theorem B) Empirical Rule C) Law of Large Numbers D) None of the above.

Back

B) Empirical Rule

Front

Define the Empirical Rule.

Back

The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean.

Front

What does a positive z-score indicate?

Back

A positive z-score indicates that the data point is above the mean.

Front

What does a negative z-score indicate?

Back

A negative z-score indicates that the data point is below the mean.

Front

What is the significance of the area under the normal curve?

Back

The area under the normal curve represents probabilities and proportions of the data.