Summarize Data Using Measures of Variability

Which Dot Plot shows the Least Variability?

• A

• B

What is Mean Absolute Deviation?

• The mean of the data

• The absolute value of the mean

• The variation of data values around the mode

• The rage distance between the data values and the mean

The best measure of Variability for Moe's data is _______.

• interquartile range

• mean

• median

• range

Match the following from the data set:

• 15

• Mean

• 20

• Range

• 21

• Mode

• 16

• Median

Which statistical measure is most appropriate for measuring the variability of this data?

• range

• interquartile range

Answer explanation

Because this distribution is skewed left, the standard deviation will be distorted by extreme values. Therefore, the interquartile range is the more appropriate measure of variability.

Match the following

• range

• The difference between the highest (maximum) and lowest (minimum) values in a data set.

• interquartile range

• the difference between the upper and lower quartile values.

• mean absolute deviation

• The sum of the distances of each data point from the mean of the data set divided by the number of data points. It is always positive.

The best description of the data is ​ (a)   . ​ ​ The most appropriate measure of center is the​ (b)   . The most appropriate measure of variability is the ​ (c)   .

• range

• mean

• IQR

• median

• skewed right

• symmetric

• symmetric with an outlier

• skewed left

What is the appropriate measure of variability for the data set?

• Range, because there is not an outlier

• IQR, because there is not an outlier

• Range, because there is an outlier

• IQR, because there is an outlier

You should use (a)   as the measure of variability.

• IQR

• standard deviation

What is the first quartile?

• 4

• 5

• 6

• 7