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Question

The marks obtained by 40 students of class X in math paper of 50 marks total, are presented in the table. Find the mean using direct method.
Marks obtainedNumber of students01031020420301330401540505
  1. 25.2
  2. 26.4
  3. 29.9
  4. 28.7


Solution

The correct option is D 28.7
Class mark for first class interval
 =upper class limit+lower class limit2=0+102=5

Similarly the class mark for each class interval can be found. Look at the table.
Class intervalNumber of students(fi)Class mark(xi)fixi010351510204156020301325325304015355254050545225Totalfi=40fixi=1150
Mean=fixifi=115040=28.7

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