Question

1. 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 a. what is the mean of her friends’ personal expenses? round your answer to the nearest cent. b. how does that average compare with the estimate?

Explanation:

Step1: Calculate sum of expenses

$2800 + 1990+2005 + 2400+1860+2200+2000=15255$

Step2: Calculate the mean

The number of data - points $n = 7$. The mean $\bar{x}=\frac{15255}{7}\approx2179.29$

Step3: Compare with estimate

The estimate was $2110$. Since $2179.29>2110$, the average of her friends' expenses is higher than the estimate.

Answer:

A. $\$2179.29$
B. The average of her friends' personal expenses is higher than the estimate.