Q1.
Shreyas and 4 of his friends have collected the following numbers of guavas: 3, 8, 10, 5, and 4. Parag and 5 of his friends have collected the following numbers of guavas: 5, 4, 6, 3, 4, and 8. Each group will share their guavas equally amongst themselves. In which group will each member get a bigger share of guavas?
Answer
Each member of Shreyas's group gets more — 6 guavas each, against 5 each in Parag's group.
Shreyas's group: 3 + 8 + 10 + 5 + 4 = 30 guavas among 5 people
Each member gets 30 ÷ 5 = 6 guavas
Parag's group: 5 + 4 + 6 + 3 + 4 + 8 = 30 guavas among 6 people
Each member gets 30 ÷ 6 = 5 guavas
Difference = 6 − 5 = 1 guava more each in Shreyas's group
Each member gets 30 ÷ 5 = 6 guavas
Parag's group: 5 + 4 + 6 + 3 + 4 + 8 = 30 guavas among 6 people
Each member gets 30 ÷ 6 = 5 guavas
Difference = 6 − 5 = 1 guava more each in Shreyas's group
Why it happens: both groups collected exactly the same total, 30 guavas. But Shreyas's group has 5 people and Parag's has 6. The same total shared among more people gives each person less. This is the fair-share meaning of the average: total ÷ number of people.
Tip: notice that "who collected more?" and "who gets more each?" have different answers here. The totals tie at 30, but the shares do not.