Step-by-step explanation:
Let's start by defining the terms.
- Median: the middle number in a set of numbers which MUST be arranged from smallest to largest
- Mode(s): the number that appears the most often in a set of numbers. There may be multiple if there are numbers that appear the same amount of times.
- Range: the difference between the highest and lowest value in a set of numbers
For our sake, I'll organize this set of values in numerical order. This will help us visibly see our mode, and will allow us to determine the median value.
Values: 4, 4, 5, 6, 7, 8, 10
- We see that 6 is the middle number, so therefore this must be the median in the data set.
- We see that 4 appears twice in the data set, which is more than any other number appears, so this must be the mode of our data.
- We see that the highest value of the data set is 10 and the lowest value is 4. Subtracting 4 from 10 gives us a value of 6, which must be the range of the data set.
