To find the range of a set subtract the smallest number in the set from the largest number in the set:

\(\displaystyle {\color{Blue} 14}, 22, 22, 31, 32, 35, 36, 37, 39, 41, 42, 48, 50, 58, {\color{Green} 63}\)

The largest number is in green: \(\displaystyle 63\)

The smallest number is in blue: \(\displaystyle 14\)

Therefore the range is their difference,

\(\displaystyle 63-14=49\).

To find the range of a set subtract the smallest number in the set from the largest number in the set:

\(\displaystyle {\color{Blue} 2}, 3, 5, 8, 13, 21, 34, {\color{Green} 55}\)

The largest number is in green: \(\displaystyle 55\)

The smallest number is in blue: \(\displaystyle 2\)

Therefore the range is their difference,

\(\displaystyle 55-2=53\)

To find the range of a set subtract the smallest number in the set from the largest number in the set:

\(\displaystyle {\color{Blue}15}, 15, 19, 21, 22, 24, 26, 27, 29, 31, 33, {\color{Green}36}\)

The largest number is in green: \(\displaystyle 36\)

The smallest number is in blue: \(\displaystyle 15\)

Therefore the range is their difference,

\(\displaystyle 36-15=21\).

What is the range of the following data set?

\(\displaystyle 45,35,22,1,6,22,98,103,49\)

The range is found by taking the difference between the largest and smallest value in the data set.

Largest: 103

Smallest: 1

\(\displaystyle R=103-1=102\)

So our range is \(\displaystyle 102\)

The range is the difference of the largest and the smallest number.

The largest number in this set is \(\displaystyle 6\).  The smallest number in this set is \(\displaystyle -10\).

Subtract these numbers.

\(\displaystyle 6-(-10 ) = 6+10 =16\)

The range of the dataset is the difference of the highest and lowest numbers. Determine the highest number.  The highest number in the set is \(\displaystyle 33\).

The lowest number is \(\displaystyle -23\).

Subtract these numbers.

\(\displaystyle 33-(-23) = 56\)

The range is the difference of the highest and lowest number.  In order to determine the highest and lowest fraction in the dataset, we must convert each fraction to a like denominator and compare.

The least common denominator for these fractions is \(\displaystyle 24\).  Reconvert all fractions with a denominator of 24 in order to compare numerators.  Multiply the numerators with what was multiplied on the denominator to get the least common denominator.

\(\displaystyle a = [\frac{1}{4}, \frac{5}{6} , \frac{2}{3},\frac{3}{8} ] = [\frac{6}{24}, \frac{20}{24} , \frac{16}{24},\frac{9}{24} ]\)

The largest number is:  \(\displaystyle \frac{5}{6}\) or \(\displaystyle \frac{20}{24}\)

The smallest number is:  \(\displaystyle \frac{1}{4}\) or \(\displaystyle \frac{6}{24}\)

Subtract these numbers.

\(\displaystyle \frac{20}{24}-\frac{6}{24} = \frac{14}{24} = \frac{7}{12}\)

The range is:  \(\displaystyle \frac{7}{12}\)

Find the range of the following data set:

\(\displaystyle 1,43,117,42,2952,54,18,97,112,23,117\)

The range is simply the distance between the largest and smallest value.

Let's begin by finding our two extreme values:

Largest: 2952

Smallest: 1

\(\displaystyle Range=2952-1=2951\)

So our range is 2951

Find the range of this data set:

\(\displaystyle 145,57,223,76,453,123,979,57,76,233,435,76\)

To begin, let's put our numbers in increasing order:

\(\displaystyle 57,57,76,76,76,123,145,223,233,435,453,979\)

Next, find the difference between our largest and smallest number. This is our range:

\(\displaystyle 979-57=922\)

So our answer is 922

Find the range of the following data set:

\(\displaystyle 66,123,44,78,99,67,143,44,107,12,578,12,67,367,44\)

Let's begin by putting our data in increasing order:

\(\displaystyle 12,12,44,44,44,66,67,67,78,99,107,123,143,367,578\)

Next, find the difference between our first and last numbers. This will be our range.

\(\displaystyle 578-12=566\)

So our answer is  566