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set a has 5 elements that are all integers and a unique mode of 3.If the largest element is 9, the smallest is -3, and the mean of A is 4, what is the value of the second largest element in A?

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sqdancefan

Answer:

  8

Step-by-step explanation:

If the mode is 3, there are at least 2 elements that are 3. If the largest is 9, there is one element that is 9. If the smallest is -3, there is one element that is -3. That accounts for 4 of the 5 elements of the set. The last element, X, must have a value such that the average is 4.

  (-3 +3 +3 +9 +X)/5 = 4

  12 +X = 20 . . . . . multiply by 5, simplify

  X = 8 . . . . . . . . subtract 12

The second-largest element in A is 8.

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