Among the credit scores Eric gathered (588, 838, 691, 818, …

Mathematics Questions

Eric is comparing the credit scores of his friends. The scores he gathered are found in the table below. 588 838 691 818 846 725 605 732 750 Among this batch of credit scores, find whether the mean or the median is higher, and how much higher it is. (Round to the nearest whole point, if applicable.) a. The mean is 113 points higher than the median. b. The mean is 1 point higher than the median. c. The median is 15 points higher than the mean. d. The median is 8 points higher than the mean.

Short Answer

The mean of the numbers is calculated to be 732.56, while the median value is 732. The difference between the mean and median is 0.56, indicating that the mean is slightly higher than the median.

Step-by-Step Solution

Step 1: Calculate the Mean

To find the mean, you need to add all the numbers together and then divide by the total count of the numbers. In this case, the numbers are added as follows: 588 + 838 + 691 + 818 + 846 + 725 + 605 + 732 + 750. After calculating the sum, which is 6593, divide it by the total number of entries, which is 9. The mean is found to be 732.56.

Step 2: Determine the Median

The median is the middle value in a sorted set of numbers. First, arrange the numbers in ascending order: 588, 605, 691, 725, 732, 750, 818, 838, 846. As you have an odd number of entries (9), the middle number, which is at position 5, is 732. Thus, the median value is 732.

Step 3: Find the Difference Between Mean and Median

The final step is to find the difference between the mean and the median. Here, you subtract the median (732) from the mean (732.56). The calculation results in a difference of 0.56, which is noted to be 1 point higher than the median.

Related Concepts

Mean

The average of a set of numbers, calculated by adding all the numbers together and dividing by the total count of numbers

Median

The middle value in a sorted list of numbers, which separates the higher half from the lower half

Difference

The result of subtracting one value from another, indicating how much two values differ from each other.

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