THE RANGE OF A DATA SET

One of the measures that describes the spread of a set of data is the range. The range is the difference of the greatest value and the least value in a set of data.

Example 1 : 

The data sets show the ages of the players on two professional baseball teams. Find the range of each set of data.

Solution :

Step 1 :

Arrange the data sets in order from least to greatest.

Team A :

21, 24, 25, 26, 27, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 30, 31, 31, 31, 32, 33, 36, 37, 39, 39

Team B :

21, 22, 23, 23, 24, 25, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 30, 30, 31

Step 2 :

Find the range of the data. Subtract the least value from the greatest value in each data set.

Team A :

39 - 21  =  18

Team B :

31 - 21  =  10

The range of ages for team A is 18 years, while the range of ages for team B is 10 years.

Example 2 : 

Find the range of each set of data. Which city’s data has a greater range ?

Solution :

Step 1 :

Arrange the data sets in order from least to greatest.

Miami :

76, 78, 78, 80, 82, 83, 84, 86, 87, 89, 90, 91, 91

Chicago :

31, 35, 35, 47, 48, 59, 59, 62, 70, 75, 80, 82, 84

Step 2 :

Find the range of the data. Subtract the least value from the greatest value in each data set.

Miami :

91 - 76  =  15

Chicago :

84 - 31  =  53

So, Chicago has a greater range. 

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