Warm-Up Normal Distribution

Front

How much of the data falls within 3 standard deviations in a normal distribution?

Back

99.7%

Front

What is the mean in a normal distribution?

Back

The mean is the average of all data points, represented as the center of the distribution.

Front

What is the total area under the standard normal distribution curve?

Back

1 (or 100%)

Front

What percent of the data is within 2 standard deviations in a normal distribution?

Back

95%

Front

What does the shaded region in a normal distribution graph represent?

Back

The shaded region represents the data that falls within a specified number of standard deviations from the mean.

Front

What is the standard deviation in a normal distribution?

Back

The standard deviation measures the dispersion or spread of the data points around the mean.

Front

What is variance in a normal distribution?

Back

Variance is the square of the standard deviation and measures the average of the squared differences from the mean.

Front

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution, approximately 68% of the data falls within 1 standard deviation, 95% within 2, and 99.7% within 3.

Front

What does it mean if data is normally distributed?

Back

It means the data follows a bell-shaped curve where most values cluster around the mean.

Front

What is a z-score?

Back

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