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High School Mathematics - 2
11.2 Median from Ungrouped Data

  • The median of a list of numbers is found by ordering them from least to greatest.
  • If the list has an odd number of numbers, the middle number in this ordering is the median.
  • If there is an even number of numbers, the median is the sum of the two middle numbers, divided by 2.
  • Note that there are always as many numbers greater than or equal to the median in the list as there are less than or equal to the median in the list.
Example 1:
The students in Mrs.H's class have the following ages: 4, 29, 4, 3, 4, 11, 16, 14, 17, 3. Find the median of their ages.
Order the data: 3, 3, 4, 4, 4, 11, 14, 16, 17, 29.
The number of ages is 10, so the middle numbers are 4 and 11, which are the 5th and 6th entries on the ordered list.
The median is the average of these two numbers:
(4 + 11)/2 = 15/2 = 7.5

Example 2:
The students of Mrs.B's class have the following scores: 41, 60, 47, 42, 44, 42, and 47. Find the median of their scores.
Ascending order of the scores: 41, 42, 42, 44, 47, 47, 60.
The number of scores is 7, so the middle number is the 4th number.
Therefore the median is 44.

Q 1: Find the median of the following data: 4,6,8,6,7,8,8

Q 2: Find the Median of the following data: 9, 3, 44, 17, 15

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Question 4: This question is available to subscribers only!

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