Step 1 Find the mean.

\mu = \frac{ΣX}{N} = \frac{35 + 45 + 30 + 35 + 40 + 25}{6} = \frac{210}{6} = 35

Step 2 Subtract the mean from each value, and place the result in column B of the table.

35 − 35 = 0       45 − 35 = 10        30 − 35 = −5
35 − 35 = 0       40 − 35 = 5          25 − 35 = −10

Step 3 Square each result and place the squares in column C of the table.

Step 4 Find the sum of the squares in column C.

Σ(X − μ)² = 0 + 100 + 25 + 0 + 25 + 100 = 250

Step 5 Divide the sum by N to get the variance.

\sigma^2=\frac{\Sigma(X-\mu)^2}{N}=\frac{250}{6}=41.7

Step 6 Take the square root to get the standard deviation.

\sigma=\sqrt{\frac{\Sigma(X-\mu)^2}{N}}=\sqrt{41.7} \approx 6.5

Hence, the standard deviation is 6.5.