Write and solve an equation to find the value of the variable.
5.2, 8.3, 8.5, 7.7, 7.8, y; mean = 7.1
Set up an equation using the definition of mean: (5.2+8.3+8.5+7.7+7.8+y)/6=7.1
Add up the numbers you know: (37.5+y)/6=7.1
Multiply by 6 to get rid of the fraction: 37.5+y=42.6
Subtract 37.5: y=5.1
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