Warm-Up Normal Distribution

Front

What shape is a normal distribution curve?

Back

Bell curve

Front

According to the empirical rule, what percentage of data falls within 1 standard deviation?

Back

68%

Front

What is the mean in a normal distribution?

Back

The average value of the dataset.

Front

What is the standard deviation in a normal distribution?

Back

A measure of the amount of variation or dispersion in a set of values.

Front

What does the empirical rule state about data distribution in a normal curve?

Back

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

Front

If the mean of a normal distribution is 50 and the standard deviation is 5, what is the z-score for a value of 55?

Back

1.0

Front

What is the range of a normal distribution?

Back

The difference between the highest and lowest values in the dataset.

Front

In a normal distribution, what percentage of data falls between the mean and 1 standard deviation above the mean?

Back

34%.

Front

If a population has a mean of 100 and a standard deviation of 15, what is the expected number of individuals within one standard deviation of the mean in a sample of 1000?

Back

Approximately 680 individuals.

Front

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

Back

It represents the total probability of all outcomes, which equals 1.