Dec 6 B4 BW Standard deviation and z-scores

Front

What is the symbol for mean?

Back

Front

What is the formula for finding z-scores?

Back

Front

What does a z-score represent?

Back

A z-score represents the number of standard deviations a data point is from the mean.

Front

How do you calculate the z-score for a given value?

Back

To calculate the z-score, subtract the mean from the value and then divide by the standard deviation.

Front

If a student scores 31 on the ACT, with a mean of 21 and a standard deviation of 5, what is the z-score?

Back

The z-score is 2.00.

Front

What is the mean of a normally distributed set of data?

Back

The mean is the average value of the data set.

Front

What is the standard deviation in a data set?

Back

The standard deviation measures the amount of variation or dispersion in a set of values.

Front

If the weights of wallabies are normally distributed with a mean of 9lbs and a standard deviation of 1.5lbs, what weight corresponds to a z-score of -2?

Back

The weight corresponding to a z-score of -2 is 6lbs.

Front

What is the z-score for a data value of 44, when the mean is 44 and the standard deviation is 1?

Back

The z-score is 0.

Front

What does a positive z-score indicate?

Back

A positive z-score indicates that the data point is above the mean.