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No, mode and mean are not always the same.
Mode is the value that occurs the most frequently in a set of data. Mean is also known as average. It is used to measure central tendency, but it is not robust. In other words, mean is strongly influenced by outliers.
For example, say the sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10}
The mode would be the number that appears most frequently in the sample space. Here, it is 10.
The mean would be calculated by adding up each number and dividing by the number of (1+2+3+4+5+6+7+8+9+10+10)/11 = 5.90909
An example sample space where the mode is equal to the mean would be {10, 20, 20, 30}
The mode would be 20 because it appears twice while 10 and 30 appear only once.
The mean would be (10+20+20+30)/4 = 20
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Are the mean median and mode always numbers from a list of data?
the median and mode are but the mean is not
How are the mode and median the same?
Mean, median, and mode are all equal in a normal distribution.
Is it possible to have the same mean median and mode?
Yes.
In a normally distributed data set which is greater mean median or mode?
In a normal distribution the mean, median and mode are all the same value.
Is it possible to have the mean median and mode the same number?
Yes, you can if you have 3 of the same number. For example, 33, 33, 33. Your mean, median and mode will be 33 for all the them.
