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Let the data set be 3,4,5,6,7,8.
First put the data in rank order ; already done!!!!
To find the MEDIAN , we tak the two middle numbers, '5' & '6' in this case.
Then
(5 + 6) / 2 = 11/2 = 5.5
5.5 is the Median.
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MaxineThe 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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Can a data set have more than one median?
No, a data set cannot have more than one median. The median is defined as the middle value of a sorted data set, or the average of the two middle values if the data set has an even number of observations. While a data set can have repeated values, the median itself remains a single value that represents the central tendency of the data.
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
