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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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Q: Is mode always the same as the mean?
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Related questions

In a normal distribution you will always know that?

The mean is the same as the mode and median.


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.


Are the mean median and mode always numbers from a list of data?

the median and mode are but the mean is not


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.


Does default typing mode mean the same as overtype mode?

no. default typing mode does not erase the words as you type, but overtype mode does.


How are the mode and median the same?

Mean, median, and mode are all equal in a normal distribution.


Is mean and mode ever the same?

No mean is the average of a group if data and mode is the number that occurs the most in a group of data


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.


There are 5 single digit number there mean median and mode are the same what are the numbers?

They could all be the same number, e.g. 55555 (mean=median=mode=5) or they could be three numbers the same, with an equal space between the first two and the last two, e.g. 24446 (mean=median=mode=4). For the mode to be well-defined, some of the numbers have to be the same.


Mode always equal to a value in the data set?

Yes.But only if the mode exists.If all the values in the dataset appear the same number of times there is no mode.