Sophie did an anonymous survey and collected her friends' credit scores. The scores she found are listed in the table below. What is the mean credit score in this group? (Round to the nearest whole point, if applicable.)
| 682 | 601 | 744 | 674 | 701 | 790 | 676 | 638 | 773 |
A. 698
B. 695
C. 676
D. 701
Answer (1)
Sum the credit scores: 682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773 = 6279 .
Divide the sum by the number of scores (9): 9 6279 = 697.6666... .
Round the result to the nearest whole number: 697.6666... ≈ 698 .
The mean credit score is 698 .
Explanation
Understanding the Problem We are given a set of credit scores and asked to find the mean credit score. The credit scores are: 682, 601, 744, 674, 701, 790, 676, 638, 773.
Plan of Action To find the mean, we need to sum the credit scores and divide by the number of scores.
Calculating the Sum First, let's calculate the sum of the credit scores:
682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773 = 6279
Calculating the Mean Next, we divide the sum by the number of credit scores, which is 9:
9 6279 = 697.6666...
Rounding to the Nearest Whole Number Finally, we round the mean to the nearest whole number:
697.6666... ≈ 698
Final Answer Therefore, the mean credit score in this group, rounded to the nearest whole point, is 698.
Examples
Understanding mean values is crucial in finance. For example, if you want to invest in a stock, you might look at the average return over the past few years to get an idea of how the stock performs. Similarly, calculating the average expenses in a household helps in budgeting and financial planning. In this case, finding the mean credit score gives an overview of the creditworthiness of the group.
