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You will notice a difference in the data if you have outliers. The mean of a set is going to be heavily influenced by outliers due to the mean being dependant on the quantity of each unit (i.e. 2 cats, 7 cats, 300 cats, etc.) The median, however, is not influenced by outliers because it accounts for the number of units rather than the quantity associated with the units.

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Q: How can the median and mean be different?
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What number has a range of 5a median of 16 and a mean of 15?

A single number cannot have a range (other than 0), nor can it have a median that is different from its mean. A single number cannot have a range (other than 0), nor can it have a median that is different from its mean. A single number cannot have a range (other than 0), nor can it have a median that is different from its mean. A single number cannot have a range (other than 0), nor can it have a median that is different from its mean.


How come the mean is less than the median?

If the distribution is not symmetric, the mean will be different from the median. A negatively skewed distribution will have a mean hat is smaller than the median, provided it is unimodal.


Is the mean equal to the median in a data set consisting of 1000 values that are all different?

If a data set consists of 1000 different values can the mean and the median be the same


What is the mean median and mode and range of 3456 560 435 456?

The mean is 1226.75. The median is 508. There is no mode, as each number is different.


What are different measures of central tendency?

Mean median and mode


How can two data sets with different numbers have the same mean median and mode?

(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.


How do mean deviation from median?

The mean deviation from the median is equal to the mean minus the median.


Can the median and mean be different?

Yes they can. That is why we have them. We would not need both if they always gave the same value. A mean is the total of numbers divided by the amount of numbers. A median is the middle value in the list when it is in numerical order. Usually they are similar, but not always the same. If there is an extreme number, much different than all the others, then the mean and median will be very different. Take 1, 3, 4, 7, 900. 4 is the Median. 183 is the mean. 183 is not very representative of the set, which is why a median actually works better here.


Is the mean and median similar?

The Mean is the average of a given set of values. The Median is the value that has the same number of smaller values than the number of higher values, it is in the middle of them. In a symmetrical distribution the Mean is equal to the Median. In an asymmetrical distribution they have different value.


Explain why the mean does not best represent the data?

well because in the mean you have to add them and its different from the median and the mode


Do the mean median and mode of a collection of numbers always have to be different?

No, in a normal distribution they are the same.


When do you use mean mode and median in math?

to work out various different types of averages