In a class of 40 students, the average height is 90 cm

In a class of 40 students, the average height is 90 cm. If 10 students whose average height is 100 cm join the class, what would be the average height of the students?

  1. 95 cm
  2. 92 cm
  3. 88 cm
  4. 98 cm
Anurag Mishra Professor Asked on 30th April 2016 in Maths.
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  • 1 Answer(s)

    Answer: (2) 92 cm 

    Solution:-
    The average height of 40 students = 90 cm 
    Then, total height of 40 students = 90 x 40 
     = 3600 cm 

    The average height of 10 new students = 100 cm 
    Then, the total height of 10 new students = 100 x 10 
     = 1000 cm 

    The total number of students in a class = 40 + 10 
     = 50 
    The total height of the total students = 3600 + 1000
     = 4600 cm 
    Then, the average height of the students = 4600/50
     = 92 cm 

    Hence, the correct answer is option (2) 92 cm. 

    Anurag Mishra Professor Answered on 1st May 2016.
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