Calculate the range of the data set: 4, 8, 6, 5, 9.

• A. 4
• B. 6
• C. 5
• D. 7

Answer: (D)

To determine the range of the data set, you first identify the highest and lowest values in the set. The range is calculated by subtracting the smallest number from the largest number.

In this case, the largest number in the data set (4, 8, 6, 5, 9) is 9, and the smallest number is 4.

Now, you can calculate the range:

Range = Largest value - Smallest value

Range = 9 - 4

Range = 5

However, it seems that in the context of the provided options, the calculation of the range should yield 5 as the correct answer. The value 7 and others are not correct based on the standard definition of range. Checking the values shows 5 matches our calculated result as the difference between the highest and lowest values, which is fundamental to understanding the concept of range in mathematics.