Find the standard deviation for the group of data items. \[ 5,6,7,8,9 \] The standard deviation is (Round to two decimal places as needed.)

To find the standard deviation, we first need to calculate the mean (average) of the data set. 1. Calculate the mean: \[ \text{Mean} = \frac{5 + 6 + 7 + 8 + 9}{5} = \frac{35}{5} = 7 \] 2. Calculate the squared differences from the mean: \[ (5 - 7)^2 = 4 \] \[ (6 - 7)^2 = 1 \] \[ (7 - 7)^2 = 0 \] \[ (8 - 7)^2 = 1 \] \[ (9 - 7)^2 = 4 \] 3. Find the average of these squared differences (this is the variance): \[ \text{Variance} = \frac{4 + 1 + 0 + 1 + 4}{5} = \frac{10}{5} = 2 \] 4. Finally, take the square root of the variance to find the standard deviation: \[ \text{Standard Deviation} = \sqrt{2} \approx 1.41 \] So, the standard deviation is approximately **1.41** (rounded to two decimal places).