Chapter 6 Review 2

Front

What is the mean in a normal distribution?

Back

The mean is the average value of a set of data points, representing the center of the distribution.

Front

What does standard deviation indicate in a normal distribution?

Back

Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

How do you calculate the percentage of data within one standard deviation of the mean in a normal distribution?

Back

Approximately 68% of the data falls within one standard deviation (mean ± 1 standard deviation) in a normal distribution.

Front

What is the empirical rule in statistics?

Back

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

Front

What is a percentile in statistics?

Back

A percentile is a measure used to indicate the value below which a given percentage of observations in a group of observations falls.

Front

How do you find the z-score for a given value in a normal distribution?

Back

The z-score is calculated using the formula: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What is the significance of the 50th percentile?

Back

The 50th percentile is the median, which divides the data set into two equal halves.

Front

How do you interpret a z-score of -1.5?

Back

A z-score of -1.5 indicates that the value is 1.5 standard deviations below the mean.

Front

What is the probability of a value being less than the mean in a normal distribution?

Back

In a normal distribution, the probability of a value being less than the mean is 50%.

Front

How do you determine the number of individuals in a population that fall within a certain range in a normal distribution?

Back

To determine the number of individuals, calculate the area under the normal curve for that range and multiply it by the total population.