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To Compute Population and Sample Standard Deviation

 

Example: Use the below table below (the number of home runs hit in 2001 by teams in the American League) to compute the population and sample standard deviation.

 

 

Team

Home Runs

Team

Home Runs

1. Anaheim Angels

158

8. Minnesota Twins

164

2. Baltimore Orioles

136

9. New York Yankees

203

3. Boston Red Sox

198

10. Oakland Athletics

199

4.  Chicago White Sox

214

11.  Seattle Mariners

169

5.  Cleveland Indians

212

12.  Tampa Bay Devil Rays

121

 

6.  Detroit Tigers

139

13.  Texas Rangers

246

7.  Kansas City Royals

152

14.  Toronto Blue Jays

195

 

Press STAT and select 1: Edit. Clear L1 and enter the population data from table above into L1. Press STAT and highlight CALC to display the Calc Menu. Select 1:1-Var Stats and press 2nd ENTER. The population standard deviation is, 34.54190002.

 

 

Press STAT and select 1: Edit. Clear L2 and enter the sample data points (158,136,139,121, and 169) into L2. Press STAT and highlight CALC to display the Calc Menu. Select 1:1-Var Stats and press 2nd ENTER. The sample standard deviation is, 18.95521037.