Question

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

Answer 1

Answer:

M=2,179.29

The average is higher than the estimate

Her expenses would have to be $1,625.00

Step-by-step explanation:

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

The mean of her friend's personal expenses is defined as the average expense value 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?

Since the estimate was $2,110, the average is higher than the estimate.

3.)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?

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

Her expenses would have to be $1,625.00.