find Standard deviation of 8.3, 9.7,11,11.8,9.8

Sure, here are the steps to calculate the standard deviation of the given data set:

1. First, calculate the mean (average) of the data set. Add all the numbers together and then divide by the count of numbers.

   (8.3 + 9.7 + 11 + 11.8 + 9.8) / 5 = 50.6 / 5 = 10.12

2. Next, subtract the mean from each number in the data set and then square the result.

   (8.3 - 10.12)^2 = 3.31 (9.7 - 10.12)^2 = 0.18 (11 - 10.12)^2 = 0.77 (11.8 - 10.12)^2 = 2.82 (9.8 - 10.12)^2 = 0.10

3. Then, calculate the mean of these squared differences.

   (3.31 + 0.18 + 0.77 + 2.82 + 0.10) / 5 = 1.44

4. Finally, take the square root of this last mean to get the standard deviation.

   √1.44 = 1.2

So, the standard deviation of the data set 8.3, 9.7, 11, 11.8, 9.8 is approximately 1.2.