Test on Measure of Variability

Which restaurant has a greater IQR?

• Lucy's Steakhouse

• Gary's Grill

• They are the same

Which club has the smaller spread, less variation?

• Cruisers

• Car Hops

What is the interquartile range (IQR) of the data set?

• 20

• 25

• 5

• 10

If we use the median to measure the typical value or center of the data, we would use the _________ to measure the variability.

• Mode

• MAD

• Standard Deviation

• IQR or Interquartile Range

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.

• 24,000 km and 34,000 km.

• 26,000 km and 34,000 km.

• 27,000 km and 31,000 km.

Pick the definition of an outlier.

• A value that lies outside of most other values in a data set.

• A value that is the largest.

• A value that is the smallest.

• A value that occurs the most.

Identify the outlier for the given data, using the formula.

23, 34, 27, 7, 30, 26, 28, 31, 34

• 7

• 23

• 31

• 34

If the mean is the measure of center, what should be used to measure variability?

• mean absolute deviation (MAD)

• interquartile range (IQR)

If the median is the measure of center, what should be used to measure variability?

• mean absolute deviation (MAD)

• interquartile range (IQR)

The scores of 10 students who took a final exam are listed below:

58 72 74 92 84 40 74 81 76 83

What is upper quartile (Q3) of the data set?

(a)