Areas Under the Standard Normal Curve

Front

What is the area under the standard normal curve to the right of z = -2.67?

Back

0.9962

Front

What is the area under the normal distribution curve to the left of Z = -2.37?

Back

0.0089

Front

What percent of the data is in the shaded region for a normal distribution?

Back

50%

Front

What is the area of the shaded region if the value is 0.0643?

Back

0.0643

Front

What does a z-score tell you?

Back

How many standard deviations away from the mean a score lies.

Front

Define the standard normal curve.

Back

A standard normal curve is a normal distribution with a mean of 0 and a standard deviation of 1.

Front

What is the total area under the standard normal curve?

Back

1 (or 100%)

Front

What is the significance of the area under the curve in statistics?

Back

It represents probabilities and the likelihood of a score occurring within a given range.

Front

What does a z-score of 0 indicate?

Back

The score is exactly at the mean.

Front

What is the empirical rule in relation to the normal distribution?

Back

Approximately 68% of data falls within 1 standard deviation, 95% within 2, and 99.7% within 3 standard deviations from the mean.