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Sally is tracking her spending. Every day for n days, Sally tracks the exact amount of...

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Statistics

Sally is tracking her spending. Every day for n days, Sallytracks the exact amount of dollars he spends that day, which is anonnegative real number but not necessarily an integer. Forpositive integers i ≤ n, he spends xi dollars on day i. Forexample, on day 1, he spends x1 dollars. At the end of the n days,he calculates the average daily amount he spends on his food to beaveragex = (x1 + x2 + · · · + xn)/n.

a) Prove that on at least one of the n days, Jarett paid atleast averagex dollars.
(b) Prove that on fewer than half of the n days, Jarett paidstrictly more than 2averagex dollars.

Answer & Explanation Solved by verified expert
3.6 Ratings (601 Votes)
a Assume that Jarett paid less than avgx in all the days x1 x2 x3 navgx Let xi avgx ki be the amount spend on ith day Where ki is a positive number    See Answer
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