The standard deviation of the numbers \( 2,3,4,4 \), and 6 is approximately (Round to three decimal places as needed.)

To find the standard deviation, we first calculate the mean of the numbers: \[ \text{Mean} = \frac{2 + 3 + 4 + 4 + 6}{5} = \frac{19}{5} = 3.8. \] Next, we find the squared differences from the mean: \[ (2 - 3.8)^2 = 3.24, \quad (3 - 3.8)^2 = 0.64, \quad (4 - 3.8)^2 = 0.04, \quad (4 - 3.8)^2 = 0.04, \quad (6 - 3.8)^2 = 4.84. \] Then, sum the squared differences: \[ 3.24 + 0.64 + 0.04 + 0.04 + 4.84 = 8.8. \] Now, divide by the number of data points minus one (to get the sample standard deviation): \[ \frac{8.8}{5 - 1} = \frac{8.8}{4} = 2.2. \] Finally, take the square root to find the standard deviation: \[ \sqrt{2.2} \approx 1.483. \] After rounding to three decimal places, the standard deviation is approximately \(1.483\).