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)
Calculate the sum of the credit scores: 682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773 = 6279 .
Divide the sum by the number of scores to find the mean: 9 6279 = 697.6666666666666 .
Round the mean to the nearest whole number: 697.6666666666666 ≈ 698 .
The mean credit score, rounded to the nearest whole point, 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.
Finding the Mean To find the mean, we need to sum all the credit scores and divide by the number of scores.
Calculating the Sum The sum of the credit scores is: 682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773 = 6279
Counting the Scores There are 9 credit scores in the set.
Calculating the Mean The mean credit score is the sum divided by the number of scores: 9 6279 = 697.6666666666666
Rounding the Mean We are asked to round the mean to the nearest whole point. Since the decimal part is 0.666..., which is greater than or equal to 0.5, we round up to 698.
Final Answer Therefore, the mean credit score, rounded to the nearest whole point, is 698.
Examples
Understanding the mean credit score can be useful in various real-life scenarios. For example, if a lender wants to assess the creditworthiness of a group of individuals, calculating the mean credit score provides a general overview of the group's credit health. This can help the lender make informed decisions about lending terms and interest rates. Similarly, individuals can track their credit score over time and compare it to the mean credit score to understand how they fare in comparison to others.
