To find the mean of a data set, add up all the numbers in the set and then divide by the total number of numbers. For the data set provided, the mean can be calculated as follows:
(2 + 24 + 27 + 23 + 25 + 23) / 6 = 124 / 6 = 20.67
The median is the middle value in a data set when the numbers are arranged in order. In this case, the data set is already in numerical order, so the median is the value in the middle, which is 24.
The mode is the value or values that occur(s) most frequently in a data set. In this case, there is no value that occurs more than once, so there is no mode.
In this data set, the mean is 20.67 and the median is 24.
Since there is no mode and the data set is relatively small, the mean and median can both adequately describe the data. However, in this case, the mean may be a better measure of central tendency as it takes into account all the values in the data set. The median can be influenced by extreme values, but since this data set does not have any extreme values, the mean and median are relatively close.
Find the mean, median, and mode for the data set below. Explain which measure best describes the data.
2 24 27 23 25 23
1 answer