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Consider the percentage of students of different schools involved in various activities.

School→
Activities↓
SSBSCSDS
Games25302023
Music15252520
Academic30202515
Dance25152230

The activities in descending order of average number of students is:

  • A.Games, Dance, Academic, Music
  • B.Games, Academic, Dance, Music
  • C.Dance, Games, Academic, Music
  • D.Academic, Games, Dance, Music

Answer: A

The order is Games, Dance, Academic, Music. Averaging the four schools for each activity:

\[ \text{Games} = \frac{25 + 30 + 20 + 23}{4} = 24.5 \]\[ \text{Dance} = \frac{25 + 15 + 22 + 30}{4} = 23 \]\[ \text{Academic} = \frac{30 + 20 + 25 + 15}{4} = 22.5 \]\[ \text{Music} = \frac{15 + 25 + 25 + 20}{4} = 21.25 \]

Descending, that is Games, Dance, Academic, Music, which is option A and not the orders in B, C and D.

The question asks for the average number of students, which is taken to be the average of the four percentage figures for each activity, because all the schools are compared on the same percentage scale. Dance has a higher average than Academic only because DS has 30 in dance against 15 in academic, which is why Dance sits between Games and Academic.

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