The median is the middle value of a data set when the values are listed from least to greatest. Half of the values are at or below the median, and half are at or above the median.
To find the median:
Odd N example: The data set 4, 7, 9, 12, 15 has 5 values. The middle (3rd) value is 9, so the median is 9.
Even N example: The data set 6, 10, 14, 18 has 4 values. The two middle values are 10 and 14. The median is (10 + 14) / 2 = 24 / 2 = 12.
Split-the-difference example: The data set 18, 22, 25, 27 has 4 values. The two middle values are 22 and 25. The median is (22 + 25) / 2 = 47 / 2 = 23.5. The median doesn't have to be a whole number, and it doesn't have to be a value that's actually in the data set.
Summarize quantitative data sets in relation to their context.
Summarize quantitative data sets in relation to their context.