make up a set of numbers having the following landmarks mode 21 median 24 maximum 35 range 20
From your data, it looks like it will be skewed toward the right (higher values).
You will have to explore the possible scores yourself. Doing this will provide you with a better understanding of the concepts in basic statistics. That cannot be accomplished by having us do all the work for you.
However, I hope this helps a little. Thanks for asking.
To make up a set of numbers with the given landmarks, we need to consider the mode, median, maximum, and range.
Mode: The mode is the number that appears most frequently in a dataset. We are given that the mode is 21.
Median: The median is the middle value in a set of numbers when they are arranged in order. We are given that the median is 24.
Maximum: The maximum is the largest value in a dataset. We are given that the maximum is 35.
Range: The range is the difference between the maximum and minimum values in a dataset. We are given that the range is 20.
To create a set of numbers with these landmarks, we can try different combinations while considering the given information.
Let's start by considering the maximum, 35. Since the range is 20, the minimum value would be 35 - 20 = 15.
Now, we know that the median is 24, meaning it should be the middle value. So, we need to distribute the numbers equally before and after the median.
Let's create a set of numbers following this pattern: 15, a, b, 24, c, d, 35.
Since the mode is 21, we need to make sure that one of the numbers, a, b, c, or d, appears more frequently than the others.
Let's try a = 21, b = 21, c = 21, and d = 25.
Now the set becomes: 15, 21, 21, 24, 21, 25, 35.
To verify if the given landmarks are consistent with this set of numbers:
- The mode is indeed 21, with three occurrences.
- The median is 24, as stated.
- The maximum is 35, the largest value.
- The range is 35 - 15 = 20, as required.
Therefore, the set of numbers that satisfy the given landmarks is {15, 21, 21, 24, 21, 25, 35}.