Standard Deviation and Empirical rule

Match the Data for the following data set: "12, 9, 7, 5, 7, 8, 10, 4, 11, 6".

• Mean

• 7.9

• Range

• 8

• Standard Deviation

• 7.5

• Median

• 2.5

Match the Data for the following data set "15, 24, 17, 19, 20, 18, 20, 16, 21, 23, 17, 18, 22, 14".

• Mean

• 10

• Range

• 18.9

• Median

• 18.5

• Standard Deviation

• 2.9

Determine the standard deviation for the following set of numbers, rounded to the nearest tenth.:

17, 8, 13, 18, 15, 9, 10, 11, 6

You apply for a job at two companies. Company A offers starting salaries with a mean =

$31000 and a standard deviation = 1000. Company B offers a starting salary with a mean =

$31000 and a standard deviation = 5000. Which company would you pick if you wanted to

get a higher salary?

• Company A

• Company B

Both data sets represented below have a mean of 50. One has a standard deviation of 2.4

and the other 5. Match the standard deviation to the correct graph.

Standard deviation = 2.4 - (a)  

Standard deviation = 5 - (b)  

• Graph A
• Graph B

Both data sets represented below have a mean of 165. One has a standard deviation of 16

and the other 24. Match the standard deviation to the correct graph.

Standard deviation 16 = (a)  

Standard deviation 214 = (b)  

• Graph A
• Graph B

Match the following standard deviation descriptions to the correct dot plot graphs:

• Largest Standard Deviation

• Graph ii

• Middle Standard Deviation

• Graph iii

• Smallest Standard Deviation

• Graph i

Match the following standard deviation descriptions to the correct dot plot graphs:

• Smallest Standard Deviation

• Graph i

• Middle Standard Deviation

• Graph ii

• Largest Standard Deviation

• Graph iii

Match the following percentages with the correct standard deviations away from the mean.

• 3 Standard Deviations away from the Mean

• 68%

• 1 Standard Deviation away from the Mean

• 99.7%

• 2 Standard Deviations away from the Mean

• 95%

For a set of data the mean is 220 and the standard deviation is 15. What values are 2 standard deviations away from the mean? Select all that apply.

• 205

• 190

• 235

• 250

• 265