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The median is the mean of the middle two.

For example, find the median of the set {1, 3, 4, 6, 9, 10, 15, 20}.

There are 8 items in the data set, so the median is the mean of the middle two.

The middle two are the 4th and 5th data items: 6 & 9

median = mean of 6 & 9 = (6 + 9)/2 = 7.5

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Q: How do you find the median with an even data set?
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Related questions

Does some quantitative data sets do not have a median?

No, they must have a median. However, if the data set is of even order, the median may not belong to the data set. For example, the median of 1,2,3,10 is halfway between 2 and 3 or 2.5 which is not a data point.


What is median in the set of data?

The median in a set of data, would be the middle item of the data string... such as: 1,2,3,4,5,6,7 the Median of this set of data would be: 4


How do you find a median in a set of data?

The median is the middle number of any given set when they are in order, least to greatest. If there is an even number of values, the median is the average of the middle two. Ex. (10, 17, 20, 45, 68) The median is 20.


Is median always part of the data set?

yes* * * * *No. If you have a small, even number of observations, the median is the average of the two middle values. This will usually NOT be part of the data set.


Can a set of data always have a median?

Yes, it can. Even if you have an uneven amount of numbers you can find the median by taking to two middle numbers, adding them together and then dividing by 2.


Why it is useful to fiNd the meaN mediaN aNd mode of a set of data?

when there are extreme values in the data


What is the middle value or average of the two middle values in a data set?

The middle value in a data set is the median. If there are an even number of values in the set, you average the middle two values to get the median.


What is the middle number in set of data?

The median. If there are an odd number of elements in the set, there is a middle number which is the median. If there are an even number of elements in the set, the median is the mean of the middle two numbers.


How can you find the median of the data without listing the values?

The median of a data set is the number that is literally in the middle. For example: The median of the number set 1,1,3,4,7, is 3 because it is in the physical middle of the set of numbers. Note: To find a median, the numbers MUST be in written in order the median of 2,6,3, is not 6. You must rearrange them like: 2,3,6 and we can see 3 is the median


Can you find the mean median of a set of data from a histogram?

You can estimate them both.


Can you find the mean or median of a set of data from a histogram?

You can estimate them both.


What if the data set was even and the numbers were the same for the median?

You then add the two middle ones and divide by two to get the median. If the numbers are the same then that is your median.