13 , 30 , 16 , 19 , 20 , 22 , 25 , 31
Let's proceed to finding the mean, median, and mode.
Mean
The mean of a data set x 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 8.
When the data are arranged in numerical order, the median is the middle value — or the mean of the two middle values. Let's arrange the given values and find the median.
13 , 16 , 19 , 20 | 22 , 25 , 30 , 31
Since there are 8 values, there is no one middle value. Therefore, the median is the mean of the two middle values.
Median: 20+ 22/2=21
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.
13 , 30 , 16 , 19 , 20 , 22 , 25 , 31
Since the data set does not contain any repeated values, there is no mode.
b The mode does not exist in this set. Therefore, it is not the measure that best represents the data.
ccc
Mode & Median & Mean
* & ? & ?
Let's now consider the mean and the median. In the given list of numbers there are no obvious outliers. Both median and mean could represent the data.
ccc
Mode & Median & Mean
* & âś“ & âś“
In such case we usually choose the mean.
