Multiple choice

If the average marks of 1/5 th class is 80% and that of and that of 1/4 th class is 75% and the average marks of the rest class is 65%, then what is the average of the whole class? यदि कक्षा के 1/5 भाग के औसत अंक 80% है और 1/4 भाग का औसत 75% है और शेष भाग का औसत अंक 65% है, तो पूरी कक्षा का औसत क्या है?

  1. 60

  2. 70.5

  3. 75

  4. 58

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let total students = n. 1/5n students score 80%, 1/4n score 75%, rest (n - n/5 - n/4 = 11n/20) score 65%. Total marks = (n/5)*80 + (n/4)*75 + (11n/20)*65 = 16n + 18.75n + 35.75n = 70.5n. Average = 70.5n/n = 70.5. The weighted average accounts for different group sizes.