Statistics and Probability

When you add all the data and then divide by number of data points, this is called

• median

• outlier

• mean

Find the mode of the following data:

2, 3, 2, 4, 4, 6, 4, 7

At the movie theater, six movies are playing and their lengths are 138, 117, 158, 145, 135, 120 minutes. Which measure of center best represent the data? Justify your selection and then find the measure of center.

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If you have a date set that has identical numbers, the best measure of center to use is:

• mode

• range

• mean

If the data set has no extreme values or numbers that are identical, it is best to use _________ to find the measure of center.

• median

• mean

• mode

The measure of variability is:

• median

• range, first quartile, third quartile,

• interquartile range, outliers

The following data is showing the number of cell phones returned to the manufacturer each month for a year.

Number of Cell Phones Returned:

20 15 24 37 55 1 39 40 3 35 28 0

What are the mean, median, and mode of the data?

• mean = 27.00; median = 26; no mode

• mean = 24.75; median = 26; no mode

• mean = 24.75; median = 20; mode = 55

The following data is showing the number of cell phones returned to the manufacturer each month for a year.

Number of Cell Phones Returned:

20 15 24 37 55 1 39 40 3 35 28 0

A manufacturer wants to claim that it has a low cell phone return rate. Choose the best measure(s) of center for the manufacturer to use.

• mean

• median

• mode

The table shows the number of homes in 12 different counties that use a solar heating system.

Number of Homes with Solar Heating System:

83 63 82 78 74 90 59 68 71 59 88 85

Which measure of variability does not correspond to the data?

• median = 76

• third quartile = 84

• range = 90

What are the mean and the mean absolute deviation of the data set: 7, 8, 4, 5, 8, 3, 5, 6?

• mean = 5.75; mean absolute deviation = 1.5

• mean = 5.75; mean absolute deviation = 1.2

• mean = 6.25; mean absolute deviation = 1.2