AP Stats: Chapter 2 Multiple Choice Practice Test

Front

What is a Normal distribution?

Back

A Normal distribution is a continuous probability distribution characterized by a symmetric bell-shaped curve, defined by its mean (average) and standard deviation (spread).

Front

What does the mean represent in a Normal distribution?

Back

The mean represents the central point of the distribution, where the highest frequency of data points occurs.

Front

What does the standard deviation indicate in a Normal distribution?

Back

The standard deviation indicates the dispersion or spread of the data points around the mean. A smaller standard deviation means data points are closer to the mean.

Front

What is a z-score?

Back

A z-score measures how many standard deviations a data point is from the mean of the distribution. It indicates the relative position of a value within a distribution.

Front

How do you calculate a z-score?

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 does it mean if a distribution is skewed to the right?

Back

A right-skewed distribution has a longer tail on the right side, indicating that most data points are concentrated on the left with fewer high values.

Front

What is the empirical rule (68-95-99.7 rule)?

Back

The empirical rule states that in a Normal distribution, approximately 68% of data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Front

What is the significance of the area under the Normal curve?

Back

The area under the Normal curve represents the total probability of all outcomes, which equals 1. Specific areas correspond to probabilities of certain ranges of values.

Front

How do you find the proportion of data above a certain z-score?

Back

To find the proportion of data above a certain z-score, you can use z-tables or standard Normal distribution calculators to find the area to the left of the z-score and subtract it from 1.

Front

What is a standardized score?

Back

A standardized score, or z-score, allows comparison of scores from different distributions by converting them to a common scale with a mean of 0 and a standard deviation of 1.