The mean will increase more.
We have weights of six packages 28, 22, 52, 25, 49, and 46.
We have to find if we include a package that weighs 142 ounces, which will increase more, the median or the mean.
What is the formula to find the Median of a set of odd number of elements (say N) ?
If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position [tex]\frac{(N+1) }{2}[/tex].
If we don't include the package of 142 ounce, then -
Mean = [tex]\frac{28 + 22 + 52 + 25 + 49 + 46}{6} = 37[/tex]
Median = [tex]\frac{52 + 25}{2} = 38.5[/tex]
After including the package of 142 ounce,
Mean = [tex]\frac{28 + 22 + 52 + 25 + 49 + 46+142}{6} = 52\\[/tex]
Median = Element at [tex]\frac{(N+1) }{2}[/tex] position = 25
Hence, mean increase more.
To solve more questions on mean and median, visit the link below -
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