Centers and Variation

Find the median, 1st quartile, 3rd quartile, and interquartile range of the data:
28, 46, 25, 76, 18, 25, 47, 83, 44

• Median: 46; Q₁: 27; Q₃: 62; IQR: 37

• Median: 44; Q₁: 29; Q₃: 58; IQR: 32

• Median: 44; Q₁: 25; Q₃: 61.5; IQR: 36.5

• Median: 41.5; Q₁: 28; Q₃: 63; IQR: 36.5

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

• 193

• 127

• 60

• 66

Find the median of these numbers:
4,2,7,4,3

• 2

• 5

• 7

• 4

The Yankees had the following wins over the last nine years;
89  103  95  97  95  85   84   87  84.
Find the IQR. 

• 14

• 84.5

• 96

• 11.5

The frequency table shows the gas mileages of several vehicles. The data would be ​ (a)   so the best measure of center would be the ​ (b)   and the best measure of variation would be the ​ (c)   ​ ​

• Skewed Right

• median

• Interquartile Range

• Skewed Left

• Symmetrical

• Mean

• Mean Absolute Deviation

Read the definition and match each word to the correct box.

• Mode

• Measure of center that occurs most often in a data set.

• Median

• Measure of variation that represents the spread of a set of data.

• Mean

• Measure of center that lies in the middle of a set of data arranged in order

• Range

• Measure of center that represents the fair share of a set of data.

The Mets had the following wins over the last nine years;
89   70   79   77   74   74   79   90   87.
Find the median. 

• 77

• 87

• 79

• 74

The table shows the number of guests at a hotel on different days. Use the IQR to identify the outlier(s) in the data set. Which measure did the outlier(s) affect the most?

• Outlier: 90 guests. It affected the mean the most.

• Outlier: 54 guests. It affected the range the most.

• Outlier: 90 guests. It affected the range the most.

• Outlier: 54 guests. It affected the median the most.

Find the Mean Absolute Deviation:  10, 9, 3, 8, 10.  The Mean is 8

• 3

• 5

• 1

• 2

Find the Mean Absolute Deviation:  5, 11, 2, 7, 16.  The Mean is 8.2 

• 3.2

• 2.8

• 1.2

• 4.2