Practice using the Normal Curve

Front

What is the Normal Curve?

Back

The Normal Curve, also known as the Gaussian distribution, is a bell-shaped curve that represents the distribution of many types of data. It is characterized by its mean (average) and standard deviation (spread).

Front

What does the mean (μ) represent in a normal distribution?

Back

The mean (μ) is the average value of a data set and is the center of the normal distribution curve.

Front

What does the standard deviation (σ) indicate in a normal distribution?

Back

The standard deviation (σ) measures the amount of variation or dispersion in a set of values. A smaller σ indicates that the data points tend to be closer to the mean.

Front

What percentage of data falls within one standard deviation of the mean in a normal distribution?

Back

Approximately 68% of the data falls within one standard deviation (μ ± σ) of the mean.

Front

What percentage of data falls within two standard deviations of the mean in a normal distribution?

Back

Approximately 95% of the data falls within two standard deviations (μ ± 2σ) of the mean.

Front

What percentage of data falls within three standard deviations of the mean in a normal distribution?

Back

Approximately 99.7% of the data falls within three standard deviations (μ ± 3σ) of the mean.

Front

How do you find the median of a data set?

Back

To find the median, arrange the data in ascending order and identify the middle value. If there is an even number of observations, the median is the average of the two middle values.

Front

In a normal distribution, what is the relationship between the mean and the median?

Back

In a normal distribution, the mean, median, and mode are all equal and located at the center of the distribution.

Front

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution: 68% of data falls within one standard deviation, 95% within two, and 99.7% within three standard deviations.

Front

If a score is at the 50th percentile, what does that mean?

Back

A score at the 50th percentile means that 50% of the scores are below that value.