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spayn
2 months ago
12

Before the last school year began, it was estimated that the average discretionary personal expenses each school year for a stud

ent attending a 4-year public college were $2,110. This past summer Ashley decided to poll seven of her friends attending a 4-year public college because she thought that estimate was low. She made a list of their actual school-year expenses: $2,800, $1,990, $2,005, $2,400, $1,860, $2,200, $2,000 What is the mean of her friends' personal expenses? Round your answer to the nearest cent. Is the average higher or lower than the estimate? What would Ashley's actual personal expenses for that school year have to be so that her amount and her friends' amounts together would have an average of $2,110?
Mathematics
1 answer:
tester [12.3K]2 months ago
4 0

Answer:

M=2,179.29

The average exceeds the estimate

Her expenses would need to be $1,625.00

Step-by-step explanation:

1.) What is the mean of her friends' personal expenses?

The mean is defined as the average expense value, calculated as follows:

M=\frac{2,800+1,990+2,005+2,400+1,860+2,200+2,000}{7}\\M=2,179.29

2.) Is the average higher or lower than the estimate?

Given the estimate of $2,110, the average is indeed higher than this estimate.

3.)What amount of personal expenses would Ashley need to maintain a combined average of $2,110 with her friends' amounts for that school year?

M= 2,110=\frac{7*2,179.29+x}{8} \\x=2,110*8 - 15,255\\x=1,625

Her needed amount of expenses would be $1,625.00.

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