17. Ten players of the Australian team made an average of 63 runs and ten players of the Indian
team made an average of 77 runs, Calculate the average run made by both the teams.
(Ans. Collective Average Run = 70)
Answers
Given :
- Number of players in Australian team = 10
- Average score of Australian team = 63 runs
- Number of players in Indian team = 10
- Average score of Indian team = 77 runs
To find :
Average run made by both team
Formula used :
Average = Sum of observation ÷ Number of observation
Solution :
Australian team -
Average score of Australian team = { Total run made by Australian team } ÷ Number of players in Australian team
➝ 63 = { Total run made by Australian team } ÷ 10
➝Total run made by Australian team = 63×10
➝ Total run made by Australian team = 630 runs
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Indian team-
Average score of Indian team = { Total run made by Indian team } ÷ Number of players in Indian team
➝ 77 = { Total run made by Indian team } ÷ 10
➝Total run made by Indian team = 77×10
➝ Total run made by Indian team = 770 runs
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Total run made = Total run made by Indian team + Total run made by Australian team
➝ Total run made = 630 + 770
➝ Total run made = 1400
Total number of players = 10 + 10
Total number of players = 20
Average score ( collective average ) = Total run made ÷ Total number of players
➝ Average score = 1400 ÷ 20
➝ Average score = 70
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