Bunuel
What was the average (arithmetic mean) attendance for baseball games played at Memorial Stadium during the months of June and July?
(1) The average numbers of people attending baseball games at Memorial Stadium for June and July were 23,100 and 25,200, respectively.
(2) There were 20 baseball games played in June at the stadium and 22 games played in July.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!Average attendance =(Total number of games in June and July)/ (Total attendance for June and July)
Statement 1:
The average attendance for June is 23,100 and for July is 25,200.
This statement gives the average attendance for each month. Since, the total games played during these two months is not given, we cannot ascertain the exact number of attendances.
Hence,
Insufficient Statement 2:
There were 20 games played in June and 22 games played in July.
This statement gives us the number of games played in each month. Attendance during each match or average attendance is not given.
Hence,
Insufficient Combining Statements 1 and 2, we get.
Since Statement 1, provides the average attendance and Statement 2, provides the number of matches played during these months.
We can calculate the total attendance for the period June and July.
Total attendance in June = 23,100 * 20 = 462,000
Total attendance in July = 25200 * 22 = 554400
Total attendance for both June and July = (462000 + 554400) = 1,016,400
Total games for the months of June and July = 20+22. = 42
Average attendance = (1,016,400)/42 = 24200.
Option C