Sections A, B and C have mean scores 62, 70 and 80. Sections A and B together average 67, section B has 20 students, and all three sections together average 73.5. How many students are in section C?
Competition practiceStatistics
A32
B28
C36
D24
Step-by-Step Solution
A and B: 62a+1400=67(a+20)⇒5a=60⇒a=12. All three: 744+1400+80c=73.5(32+c)⇒2144+80c=2352+73.5c⇒6.5c=208⇒c=32.
Answer: A) 32
Master this topic in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.