# Determining possible values

A list of five integers has mean 12 and range 18. THe mode and median are both 8. Determine possible values for the second largest number.

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#### Solution Preview

Let the smallest # = X

Largest # X+ 18 (since the range is 18)

Since mode is 8 that means 8 repeats the most number of times.

Also,since mean = 12, that means the numbers add up to 60

x+x+18 + 8+8+a = ...

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