Question
In the data set below, what is the standard deviation? 8251946 If the answer is a decimal, round it to the nearest tenth. standard deviation (d): (sigma ):square
Solution
4.4
(274 Votes)
Horace
Veteran ยท Tutor for 12 years
Answer
### 2.7
Explanation
## Step 1: Calculate the mean (
)### Sum all the numbers and divide by the count:
## Step 2: Calculate the squared differences from the mean### Subtract the mean from each number, square the result, and sum these squared differences:
## Step 3: Calculate the variance (
)### Divide the sum of squared differences by the number of data points:
## Step 4: Calculate the standard deviation (
)### Take the square root of the variance:
. Rounded to the nearest tenth,