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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.

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Q: If you have more than one median what do you do?
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Is there ever more than one median?

No, there is never more than one median in a data set. The median is defined as the middle value when the data is arranged in order. If the data set has an odd number of observations, the median is the single middle value. If it has an even number of observations, the median is the average of the two middle values, which also results in a single value.


Median of a data is 20 If each is obesrvation in the data is increased by 2 then what is the new median?

the new median is the same as that of old one. i.e 20 * * * * * If every observation is increased by 2, the new median is 2 more than the old median.


Can you get the same median if you add two more numbers?

yes, depending on what your numbers are, you would need for one to be higher and one lower than your current median, it's always the number in the middle or the average of the 2 middle if it's an even amount of variables.


How will you find the median and the total frequency from the graph of less than ogive and more than ogive?

The median can be found out by drawing a perpendicular to the x-axis from the intersection point of both the ogives


Is the mean influenced more than the median by a few extreme scores at one end of the distribution?

Yes. The mean uses the actual value of each observation. The value(s) of only the middle observation (or pair of middle observations) is required for the median. For all other observations, the median is concerned only with whether it is larger or smaller than it is.