Calculate the Standard Deviation of the following list of data: 6, 7, 8, 9, 10

Take the square root of the average of the square of the deviation from the mean (8)

sqrt [2*(2^2) + 2*(1^2) +0]/5
= (sqrt 10)/5 = 0.632

What is y x u= -21

To calculate the Standard Deviation of a set of data, you need to follow these steps:

Step 1: Find the mean of the data set.
To find the mean (average), add up all the numbers in the data set and divide the sum by the total number of numbers.

Mean = (6 + 7 + 8 + 9 + 10) / 5 = 40 / 5 = 8

Step 2: Find the difference between each data point and the mean.
Subtract the mean from each number in the data set to get the differences.

Differences: -2, -1, 0, 1, 2

Step 3: Square each difference.
Take each difference from step 2 and square it. This step is necessary because we want to eliminate the negative values and emphasize the spread of the data.

Squared Differences: 4, 1, 0, 1, 4

Step 4: Find the mean of the squared differences.
Similar to step 1, find the mean of the squared differences by adding them up and dividing by the total number of numbers.

Mean of Squared Differences = (4 + 1 + 0 + 1 + 4) / 5 = 10 / 5 = 2

Step 5: Take the square root of the mean of squared differences.
Finally, take the square root of the mean of squared differences obtained in step 4.

Standard Deviation = √2 = 1.41 (rounded to 2 decimal places)

Therefore, the Standard Deviation of the given data set {6, 7, 8, 9, 10} is approximately 1.41.