Spread of a data set - standard deviation & variance

Lessons

1. Determining Population Standard Deviation VS. Sample Standard Deviation
   The heights of students (in cm) in a class are: {148, 156, 160, 164, 164, 167, 171, 176, 180, 194}
   
   1. Calculate the Population Standard Deviation and Variance.
   2. Randomly pick 3 data values and calculate the Sample Standard Deviation.
   3. Verify the results using statistics commands on your calculator.
2. Determining the Standard Deviations from Histograms
   Without calculation, determine which set of data is likely to have:
   • the greatest standard deviation
   • the smallest standard deviation
   
   
   
   
3. Determining the Mean and the Standard Deviation from a Frequency Table
   Determine the mean and the standard deviation for the population of scores in the following frequency table.
   
   

   score	frequency
   4	6
   5	3
   7	8
   9	2