Question

 

9. The empirical rule states that for a normal distribution:

• Approximately   % of the data lies within 1 standard deviation from the mean 

• Approximately   % of the data lies within 2 standard deviations from the mean 

• Approximately    % of the data lies within 3 standard deviations from the mean 

 

 

10. Write the correct symbol for each of the following:

a) Standard deviation of a sample    

b) Mean of a population  

c) Mean of a sample   

d) Standard deviation of a population    

 

 

 

Answer 1

9. The empirical rule states that for a normal distribution:

• Approximately  $68.27\%$ of the data lies within 1 standard deviation from the mean 

• Approximately   $95.45\%$ of the data lies within 2 standard deviations from the mean 

• Approximately    $99.73\%$ of the data lies within 3 standard deviations from the mean 

10.

a) Standard deviation of a sample $s$    

b) Mean of a population  $\mu$

c) Mean of a sample $\bar{x}$   

d) Standard deviation of a population $\sigma$