What is the median of the following numbers? 4, 9, 6, 3, 4, 2
Answers
2,3,4,4,6,9
take the middle terms i.e 4,4
now add them 4+4 and divide by 2
4+4/2
8/2
4
✌️✌️ Hope this helps you ✌️✌️
The median of the numbers 4, 9, 6, 3, 4, and 2 is 4.
Given: The numbers 4, 9, 6, 3, 4, 2.
To Find: The median of the numbers 4, 9, 6, 3, 4, 2.
Solution:
The median is the middlemost value of an arranged data set.
The method for finding the median of the numbers is listed below.
- Arrange the data set in either ascending or descending order.
- Count the number of elements in the data set ( say N ).
- If the number of elements is odd, then the median is the ( N + 1 )/2 th value in the data set.
- If the number of elements is even, then the median is equal to the average of the two middlemost numbers given by;
Median = [( N / 2 )th value + (( N / 2 ) + 1 )th value] / 2 .....(i)
Coming to the numerical, we are given;
The number: 4, 9, 6, 3, 4, 2
Arranging the numbers in ascending order, we get;
2, 3, 4, 4, 6, 9
We can see that there are N = 6 numbers in the set, so it is an even number.
The median for an even number set can be found from point (4) by putting the values in (i);
The median = [( N / 2 )th value + (( N / 2 ) + 1 )th value] / 2
= [( 6 / 2 )th value + (( 6 / 2 ) + 1 )th value] / 2
= [ 3rd value + 4th value] / 2
= ( 4 + 4 ) / 2
= 4
Hence, the median of the numbers 4, 9, 6, 3, 4, and 2 is 4.
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