Changes to Mean and Standard Deviation

_____ changes the measures of position and the measures of spread.

• Rescaling

• Shifting

To find the z-score we use:

• Mean and IQR

• Mean and Standard Deviation

• Median and Standard Deviation

• Median and IQR

Z-scores tells us how many _________ a value is from the __________ and in which direction.

• Means, Median

• Medians, Standard Deviation

• Standard Deviations, mean

• Standard Deviations, median

What percentages go in C and D?

• 13%

• 97%

• 15%

• 13.5%

In a crash test of 15 troopers, collision repair costs are found to have a distribution that is approximately normal, with a mean of $1800 and a standard deviation of $950. Construct a 99% confidence interval for the repair cost. 

• (1070, 2530)

• (1273, 2326)

• (1799, 1801)

• None of these.

The standard deviation should be interpreted as the typical distance of the values in a distribution from the mean.

• True

• False

Without doing any calculations, which of the distributions shown (A, B, or C) has the largest standard deviation?

• Distribution A

• Distribution B

• Distribution C

• The standard deviations are equal because the ranges are equal.

Which of the following is a measure of variability?

• mean

• median

• mode

• standard deviation

Order the dot plots from least to greatest standard deviation.

• A, D, C, B

• B, C, D, A

• A, D, B, C

• B, C, A, D

Which of the following can be used to describe the spread of a distribution? Select all that apply.

• range

• interquartile range

• standard deviation

• mean

• median