1. Standard Deviation!

2. Standard Deviation
The standard deviation is a measure how spread out numbers in a data set are from the mean.
The wider the spread of scores, the larger the standard deviation.

3. BILL: Which line has a larger SD. Which line has a smaller SD
BILL: Which line has a larger SD? Which line has a smaller SD? How do you know?

5. BILL: Which fruit has the largest SD. How do you know
BILL: Which fruit has the largest SD? How do you know? What does this mean?

6. Standard Deviation
For data that has a normal distribution, 68% of the data lies within one standard deviation of the mean.
One SD

7. Use the following steps to calculate the SD for the 0
Use the following steps to calculate the SD for the 0.0 osmol/L set of data

8. How to calculate the standard deviation:
Calculate the mean (M) of a set of data

9. How to calculate the standard deviation:
Subtract the mean from each point of data to determine (X-M)

10. How to calculate the standard deviation:
Square each of the resulting numbers to determine (X-M)2

11. How to calculate the standard deviation:
Add the values from the previous step together to get ∑(X-M)2

12. How to calculate the standard deviation:
Calculate (n-1) by subtracting 1 from your sample size. Your sample size is the total number of data points you collected.

13. How to calculate the standard deviation:
Divide the answer from ∑(X-M)2 by the answer from (n-1) to find ∑(X-M)2
n-1

14. How to calculate the standard deviation:
Calculate the square root of your previous answer to determine the standard deviation

15. Using Tools to Calculate Standard Deviation