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The mean weight of the 45 members of a football team is 215 pounds. If none...

The mean weight of the 45 members of a football team is 215 pounds. If none of the players weighs less than 170 pounds, at most how many of them can weigh 250 pounds or more?

Math   Statistics-And-Probability   
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Answer #1

The total weight of 45 member team is

The minimum weight of any member is 170 pounds. We need to find the maximum number of members who can weigh 250 or above. Let x be the number who weigh 250 or more and 45-x who weigh less than 250.

We will get the maximum value for x when we say that x weigh exactly 250 and the rest 45-x weigh 170 pounds which is the minimum that a member can weigh.

Now the total is

This means

ans: at the most 25 members can weigh 250 or more

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