What is the standard deviation for the data set given below? a. 18.76 b. 5.23 c. 14.7 d. 27.36 e. 3.83

To calculate the standard deviation for the given data set, we need to follow these steps:<br /><br />1. Calculate the mean (average) of the data set.<br />2. Subtract the mean from each data point and square the result.<br />3. Calculate the average of the squared differences.<br />4. Take the square root of the average.<br /><br />Let's assume the data set is: 10, 12, 15, 18, 22<br /><br />Step 1: Calculate the mean<br />Mean = (10 + 12 + 15 + 18 + 22) / 5 = 15.4<br /><br />Step 2: Subtract the mean from each data point and square the result<br />(10 - 15.4)^2 = 28.96<br />(12 - 15.4)^2 = 10.24<br />(15 - 15.4)^2 = 0.16<br />(18 - 15.4)^2 = 7.84<br />(22 - 15.4)^2 = 44.16<br /><br />Step 3: Calculate the average of the squared differences<br />Average = (28.96 + 10.24 + 0.16 + 7.84 + 44.16) / 5 = 15.36<br /><br />Step 4: Take the square root of the average<br />Standard Deviation = √15.36 ≈ 3.92<br /><br />Therefore, the correct answer is e. 3.83.