Six whole numbers a median of 10 a node of 11 and a range of 4 work out a possible set of six numbers write them in order
To find a possible set of six whole numbers that have a median of 10, a mode of 11, and a range of 4, we can follow these steps:
Step 1: Determine the minimum and maximum values
Since the range is 4, we know that the minimum and maximum values differ by 4. Let's assume the minimum value is x. Therefore, the maximum value will be x + 4.
Step 2: Find the median
Since the median is 10, it must be the average of the middle two numbers in the set. So, the fourth number in the ordered set will be 10.
Step 3: Find the mode
Since the mode is 11, it means that the number 11 appears the most frequently in the set.
Let's consider two possible sets of numbers based on these conditions:
Set 1:
1. x (minimum value)
2. x + 1
3. x + 3
4. 10 (median)
5. 11 (mode)
6. x + 4 (maximum value)
Set 2:
1. x - 1
2. x
3. x + 2
4. 10 (median)
5. 11 (mode)
6. x + 3 (maximum value)
Note that there could be other valid combinations as well, but these are two possible sets that satisfy the given conditions.
Please note that the specific values for 'x' might vary, but these examples provide a general understanding of how to construct the set.