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S={1,2,4,5,7}, the median is 4

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Q: What is the data set with a median of 4?
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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


What is a median in arithmetic?

The median is the "middle" number in a set of data or a sequence. If you have the sequence 2,3,4,5,6 4 would be the median.


What does the median of a set of data tell you?

The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.


Which is the middle number in a set of data?

Median .


What divides a set of data in half?

Median


How are mean and median alike?

The mean of a set of data is all the values in that data added together and then divided by the number of values. For instance, if you had the data set 1, 3, 4, 6, 8, you would add them all up to get 22, and then divide by 5 to get 4.4 which is the mean. The median is the middle value of all data values. In the above data set, that is 4, and so 4 would be the median. Mean and median are alike in that they both attempt to find the "middle" of the data, and are both considered averages.


What does the median tell you about the distribution of a set of data?

the midpoint of the data set


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 the middle number of a data set called?

it is the median


What does the median tell you about the data?

The median, by definition, tells you the "half way point" of your data. Exactly half of the observations in the dataset will be less than the median and half will be greater than the median.


If you have more than one median what do you do?

If you have an even set of data then there are two middle numbers or medians. Average those two and create a median. Example: 2,3,4,7,9,10 4 and 7 are in the middle. (4+7)/2=5.5 5.5 is the median even though it is not one of the numbers in the data set.


How do you find the median with an even data set?

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