Find the mean from the following frequency distribution of marks at a test in statistics:


Marks (x):



5



10



15



20



25



30



35



40



45



50



No. of students (f):



15



50



80



76



72



45



39



9



8



6


Let the assumed mean (A) = 25


Marks (xi)



No. of students (fi)



ui = xi – A = xi - 25



fiui



5



15



-20



-300



10



50



-15



-750



15



80



-10



-800



20



76



-5



-380



25



72



0



0



30



45



5



225



35



39



10



390



40



9



15



135



45



8



20



160



50



6



25



150




N = 400




fiui = -1170



Mean = A +


= 25 + =


= 22.075


9