WHS AP Statistics - Unit 4

Front

What happens to the mean if a constant is added to every value in a data set?

Back

The mean increases by that constant.

Front

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

Back

68%.

Front

What is the probability of either event A or event B occurring if they are mutually exclusive?

Back

P(A or B) = P(A) + P(B).

Front

In a normal distribution, what does it mean if 95% of data falls between two values?

Back

It indicates that those values are approximately 1.96 standard deviations from the mean.

Front

What is the mean and standard deviation if 95% of students weigh between 62 kg and 90 kg?

Back

Mean = 76 kg, S.D. = 7 kg.

Front

How do you calculate the proportion of data below a certain value in a normal distribution?

Back

Use the Z-score formula and standard normal distribution tables.

Front

What is the standard deviation in a data set?

Back

It measures the amount of variation or dispersion of a set of values.

Front

If the mean number of accidents is 6.4 with a standard deviation of 1.5, what proportion of weeks would have less than 5 accidents?

Back

Approximately 0.1762.

Front

What is a mutually exclusive event in probability?

Back

Events that cannot occur at the same time.

Front

What is the empirical rule in statistics?

Back

In a normal distribution, about 68% of data falls within one standard deviation, 95% within two, and 99.7% within three standard deviations.