At a cultural club, 4 events were organized. The average attendance for the first two events was 152.5 people. The next two events had an average of 198.5 people. Later, due to a correction, it was found that the attendance at one of the first two events was 12 more than what was originally recorded, and one of the last two events was 9 less. Find the corrected overall average attendance for all 4 events.
Show answer & explanation
Correct answer: B
Explanation
Given:
Average of the first two programs = 152.5
Average of the next two programs = 198.5
Formula:
Gross total = Average × Number
Gross total of the first two programs = 152.5 × 2 = 305
Gross total of the next two programs = 198.5 × 2 = 397
Gross total of the four programs = 305 + 397 = 702
Correction:
One program in the first two is 12 more
One program in the last two is 9 less
New total = 702 + 12 − 9 = 705
New average = 705 / 4 = 176.25