The mean is 7.375, the median is 7, and the mode is 7 for the set of numbers 5, 6, 7, 7, 7, 8, 9, and 10.
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The mean is the average of a set of numbers. To find the mean of the numbers 5, 6, 7, 7, 7, 8, 9, and 10, you add up all the numbers and divide by the total count of numbers. In this case, the sum of the numbers is 59 (5+6+7+7+7+8+9+10) and there are 8 numbers in total. Therefore, the mean is 59 divided by 8, which equals 7.375.
The median is the middle value of a set of numbers when they are arranged in order. To find the median, you first need to arrange the numbers in ascending order: 5, 6, 7, 7, 7, 8, 9, 10. Since there are 8 numbers, the middle two numbers are the 4th and 5th numbers, which are both 7. Therefore, the median is 7.
The mode is the value that appears most frequently in a set of numbers. In this case, the number 7 appears most frequently, as it occurs three times. Therefore, the mode is 7.