What is the standard deviation of the data {7, 1, 7, 10, 5, 3, 2}?

Sure, here are the steps to calculate the standard deviation of the data {7, 1, 7, 10, 5, 3, 2}:

Step 1: Calculate the Mean (Average) Add up all the numbers, then divide by the number of numbers. (7 + 1 + 7 + 10 + 5 + 3 + 2) / 7 = 35 / 7 = 5

Step 2: Subtract the Mean and square the result (this is called the "squared deviation"). (7-5)^2 = 4 (1-5)^2 = 16 (7-5)^2 = 4 (10-5)^2 = 25 (5-5)^2 = 0 (3-5)^2 = 4 (2-5)^2 = 9

Step 3: Calculate the average of those squared deviations. (This is called the "variance"). (4 + 16 + 4 + 25 + 0 + 4 + 9) / 7 = 62 / 7 = 8.857

Step 4: Take the square root of the variance (this is the standard deviation). √8.857 = 2.98 (rounded to two decimal places)

So, the standard deviation of the data {7, 1, 7, 10, 5, 3, 2} is approximately 2.98.