(15 points) Question 5 : Given the frequency table data in the table

below, compute the variance and standard deviation of the data us- ing the grouped data formula. Is the given population normally

distributed?? Use = 0.01 and = 0.05, then compare. Frequency table

Class Boundaries

fi

xmi

fi xmi

x2mi

5.5-10.5 10.5-15.5 15.5-20.5 20.5-25.5 25.5-30.5 30.5-35.5

3 4 7 7 11 12

Class

1 2 3 4 5 6

Sums

Solution :

fi x2mi

nnn

fi = fixmi = fix2mi