Median
The median is the middle score for a set of data that has been arranged in order of magnitude.
Summary
The median is the middle score for a set of data that has been arranged in order of magnitude.
Things to Remember
- Median is the middle value in the list of numbers.
- To find median, place the numbers you are given in the value order and find the middle number.
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Median
Median
The middle value in the list of numbers is called median.If there are two middle numbers the median is the arithmetic mean of the two middle numbers. The median of a set of numbers is the number in the middle.
For example, in the set of numbers {4,6,25}, the median is 6. However, the numbers must be in order for the median to be in the middle. If there are an even number of numbers, then the median is the average of the last 2 middle numbers. There are 2 ways to find the median of a set of numbers:
Rewrite the numbers in order, then find the one in the middle Cross off the highest number, then the lowest, then the highest, lowest, on and on, until only one number is left. That number will be the median.
For example:
1
3
5 \(\leftarrow\) median=5
9
12
Notice that you should arrange the data in ascending order or descending order to find the median.
Examples
- Find the median of the following data:
28, 6,2 5, 10, 24, 30, 12
Solution:
Arranging the data in ascending order
6, 10, 12, 15, 24, 28, 30
There are seven values. The middle value is 15.
So, the median is 15. - Find the median of the following data:
35, 5, 30, 25, 20, 15
Solution,
Arranging the data in ascending order
5, 15, 20, 25, 30, 35
There are six values. There are two middle numbers 20 and 25
So, median = \(\frac{20+25}{2}\) = \(\frac{45}{2}\) = 22.5
Lesson
Statistics
Subject
Compulsory Maths
Grade
Grade 8
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