what numbers make up the mode and mean of 80 and a median of 85?
To determine the numbers that make up the mode and mean of 80, and a median of 85, you need to explore different number combinations.
1. Mode: The mode is the value that appears most frequently in a set of numbers. Since there is no information given about the frequency of the numbers, we can assume that each number appears only once. Therefore, the mode will be the number that repeats the most out of the given set.
2. Mean: The mean, also known as the average, is calculated by summing up all the numbers in the set and then dividing the sum by the total number of elements in the set. In this case, we have only one number, which is 80. Hence, the mean is 80.
3. Median: The median is the middle value of a set of numbers when they are arranged in increasing or decreasing order. Since the median is given as 85, we need to identify a set of numbers where 85 would be the middle value.
Now, let's put these pieces together to find the numbers that satisfy these conditions:
- Since the mode is 80, we need at least one 80 in the set.
- To have a median of 85, it means we need to have 85 as the middle number.
- Lastly, the mean of those numbers should also be 80.
A potential set of numbers that meets these requirements is [75, 80, 85, 90, 95]. In this set, 80 is the mode because it appears once, 85 is the median as it is in the middle, and the mean is calculated as (75 + 80 + 85 + 90 + 95) / 5 = 425 / 5 = 85.
Remember, there could be multiple sets of numbers that satisfy these criteria, and this is just one possibility.