First, let's calculate the standard deviation of the bricks.
Standard deviation = 5.75 - 5 = 0.75
Now, we need to use the z-score formula to calculate the mean.
z-score = (observed value - mean) / standard deviation.
Let's plug our values into the formula above.
1 = (5 - mean) / 0.75
Multiply both sides by 0.75
0.75 = 5 - mean
Subtract 5 from both sides.
-4.25 = -mean
Divide both sides by -1
4.25 inches = mean
