Describe differance between mean vs. mode, Mathematics

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Describe differance between Mean vs. Mode ?

Every set of numbers or data has a mean and a mode value. The mean is the average value of all the numbers in the set. The mode is the number that appears most often in the set.

To find the mean of a set of numbers, simply divide the sum of all the numbers by the total amount of numbers in the set.

Example: Find the mean and mode value of the given set of numbers. Is the mean greater than or less than the mode?
{22, 14, 17, 15, 15, 12, 22, 17, 14, 17, 8, 22, 9, 17}
Mean: From the frequency table, we know that the total amount of numbers in the set is 14, and that
17 appears 4 times,
22
22 appears 3 times,
{14 and 15} appear 2 times each,
{12, 8, and 9} appear 1 time each.
So then the mean of the set is

Mode: From the frequency table, we know that that the number 17 appears the most times (4 times), and is therefore the mode.
So, since 15.8 is less than 17, the mean is less than the mode.

 

 


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