The following table shows the marks scored by 140 students in an examination of a certain paper:


Calculate the average marks by using all the three methods: direct method, assumed mean deviation and shortcut method.


From Direct method:




= 25.857


Assumed mean method:


let assumed mean (A) = 25






= 25 + 0.857


= 25.857


Step deviation method:


Let the assumed mean (A) = 25





= 25 + 0.857


= 25.857


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