First, calculate \((x - 1760)\) for each value of \(x\):
1.6, -1.5, 2.3, 1.4, -0.6, -0.9, 2.5, 1.9, 2.4, 1.9, 2.8, 1.0
Calculate the mean of \((x - 1760)\):
\(\text{Mean} = \frac{1.6 + (-1.5) + 2.3 + 1.4 + (-0.6) + (-0.9) + 2.5 + 1.9 + 2.4 + 1.9 + 2.8 + 1.0}{12} = 1.23\)
Calculate the standard deviation of \((x - 1760)\):
\(\text{sd} = 1.39\)
Since \(x = (x - 1760) + 1760\), the mean of \(x\) is:
\(\text{Mean of } x = 1.23 + 1760 = 1761.23\)
The standard deviation remains the same, so:
\(\text{sd of } x = 1.39\)