The mean is the mathematical average. The median is the middle value. The mode is the most repeated value. The range is the difference between the greatest and least value.
Mean: about 108.3 Median: 110 Mode: 115 Range: 21
Practice makes perfect
We want to find the mean, median, mode and range of the given data set. Let's start by sorting the given values.
97 , 100 , 105 , 115 , 115 , 118
Mean
The mean of a data set is calculated by finding the sum of all of the values in the set and then dividing by the number of values in the set. In this case, there are 6 values.
The mean of the set is 108.3, correct to the nearest tenth.
Median
When the data are arranged in numerical order, the median is the middle value — or the mean of the two middle values — in a set of data. Let's arrange the given values and find the median.
97 , 100 , 105 | 115 , 115 , 118
Since there are 6 values, there is no one middle value. Thus, for this exercise, the median is the mean of the two middle values.
Median: 105+ 115/2=110
Mode
The mode is the value or values that appear most often in a set of data.
Let's find the mode of the given values.
97 , 100 , 105 , 115 , 115 , 118
The value that appears most often is 115.
Mode: 115
Range
The range is the difference between the greatest and least values in a set of data. For our exercise, the greatest value is 118 and the least value is 97.
Range: 118- 97=21
