Your youth group wants to raise money to go on a mission trip to build a water well. In order for you to go on the trip, you must raise an average of $50 per month for 10 months. Below are the amounts you earned working for 10 months. What will the average during your 10 months of work be? (Hint: This will be your mean) Did you meet your goal of earning an average of $50 a month? Please show all your work and answers to both questions.
To calculate the average during the 10 months of work, we need to find the mean. The mean is calculated by summing all the amounts earned and dividing by the number of months.
Let's calculate the mean using the amounts earned:
Amount earned in the 1st month: $100
Amount earned in the 2nd month: $75
Amount earned in the 3rd month: $60
Amount earned in the 4th month: $50
Amount earned in the 5th month: $40
Amount earned in the 6th month: $45
Amount earned in the 7th month: $55
Amount earned in the 8th month: $80
Amount earned in the 9th month: $65
Amount earned in the 10th month: $100
Sum of the amounts earned = $100 + $75 + $60 + $50 + $40 + $45 + $55 + $80 + $65 + $100 = $720
Mean = Sum of the amounts earned / Number of months = $720 / 10 = $72
Therefore, the average during the 10 months of work is $72.
Now, let's check if the goal of earning an average of $50 a month was met. The average earned per month is $72, which is greater than $50. Therefore, the goal of earning an average of $50 a month was indeed met.