The mean of a given set 3, 3, 2, 2, 2, 8, 8, 4 is 4. if the number 4 were added to the set then it won't change in mean.
What are mean and median?
The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
The given set is
3, 3, 2, 2, 2, 8, 8, 4
The mean will be
Mean = Sum of observations/the number of observations
= [tex]\frac{3+ 3+ 2+ 2+ 2+ 8+ 8+ 4}{8} \\\\\frac{32}{8} \\\\4[/tex]
if the number 4 were added to the set.
4 + 32 we get 36 and since you added one more number, we will take a number of terms 9.
So, the mean becomes
= [tex]\frac{36}{9} \\\\4[/tex]
Hence, the mean doesn't change.
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