4.2 Median for Ungrouped Data
The Median for Ungrouped Data
To find the median of ungrouped data, the values or measurements must be arranged in an array. It may be either in an increasing or a decreasing oreder. Then we get the value or the measurement in the middle. If there is an even number of values, then the two values in the middle are added together then divided by two.
Example 1:
Data / Measurements
78 95 93 88 75 99 71 72 74 85 87 88 95 86 87 84 82
Array of the Data / Measurements
71 72 74 75 78 82 84 85 86 87 87 88 88 93 95 95 99
The middle value is 86. The median is 86.
Example 2:
Data / Measurements
12 18 14 17 9 11 20 21 15 13
Array of the Data / Measurements
9 11 12 13 14 15 17 18 20 21
The middle values are 14 and 15. The median is (14+15)/2 = 14.5.