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The possible weekly allowance of the 5th friend is $36.
We have the weekly allowance of 4 friends as $13, $17, $24, $30.
We have to find the possible allowance of the 5th friend.
What is the median value of Set of values containing odd number of elements (say n) ?
The median value of the set containing odd number of elements -
Median = Element at the [tex](\frac{n+1}{2} )^{th}[/tex] position.
Let the monthly allowance of the 5th friend be ' x '.
Then, the mean of the monthly allowance of the 5 friends will be -
Mean (f) = [tex]\frac{13+17+24+30+x}{5}[/tex]
Mean (f) = [tex]\frac{84 +x }{5}[/tex]
Now, calculating the medium
Medium (f) = Element at [tex](\frac{5+1}{2}) ^{th}[/tex] position = 24
According to the question -
Mean(f) = Median(f)
[tex]\frac{84 +x }{5} = 24[/tex]
84 + x = 24 x 5
84 + x = 120
x = 36
Hence, the possible weekly allowance of the 5th friend is $36.
To solve more questions on mean and median, visit the link below - https://brainly.com/question/16970009
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