3500 must attend the third show so that the average attendance per show is 3000.
What is an Average?
Average is the mean of the data set obtained by summing all the values of the data set and then dividing it by the number of data in the set..
The image shows the number of people who attend the shows.
The number of people attended show 1 is 2580.
The number of people attended show 2 is 2920.
Let the number of people who attend the third show is x,
The equation that can be written to determine the number of people that attend the third show so that the average is 3000 is,
Average = ( Sum of all the observations) / ( No.of observations)
The no. of observations is 3.
Substituting the values,
3000 = ( 2580 + 2920 + x) / 3
9000 = 2580 +2920 +x
The value of x is 9000 - 2580 - 2920
x = 3500
This can also be determined by observing the graph, the number of people who attended the third show is 3500, and when the average is determined, it is 3000.
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