Find the standard deviation for the following group of data items. \[ 30,35,35,43 \]

To calculate the standard deviation, follow these steps: 1. Find the mean (average) of the data. 2. Calculate the difference between each data point and the mean, and square these differences. 3. Compute the variance by averaging these squared differences. 4. Take the square root of the variance to get the standard deviation. Given data: 30, 35, 35, 43 Step 1. Calculate the mean:   Mean = (30 + 35 + 35 + 43) / 4 = 143 / 4 = 35.75 Step 2. Compute each squared deviation:   For 30: (30 − 35.75)² = (−5.75)² = 33.0625   For 35: (35 − 35.75)² = (−0.75)² = 0.5625   For 35: (35 − 35.75)² = (−0.75)² = 0.5625   For 43: (43 − 35.75)² = (7.25)² = 52.5625 Step 3. Sum the squared deviations and calculate the variance.   Total squared deviations = 33.0625 + 0.5625 + 0.5625 + 52.5625 = 86.75 If considering the data as the entire population, the variance is:   Variance (σ²) = 86.75 / 4 = 21.6875 Step 4. Take the square root of the variance:   Standard Deviation (σ) = √21.6875 ≈ 4.66 Thus, the standard deviation for the group of data items is approximately 4.66. Note: If you were instead asked for the sample standard deviation (which divides by n − 1), you would calculate:   Sample Variance (s²) = 86.75 / (4 − 1) = 86.75 / 3 ≈ 28.9167   Sample Standard Deviation (s) = √28.9167 ≈ 5.38 Since the problem states “group of data items” without specifying “sample,” the answer provided above uses the population standard deviation.