Question

two sets of data are shown in the table. data set a: 5, 6, 7, 8, 9, 10, 11, 12, 15; data set b: 3, 6, 7, 8, 10, 12, 12, 14, 15. calculate the range for each data set. options: for data set a, the range is 10. for data set b, the range is 12. for data set a, the range is 4. for data set b, the range is 5. for data set a, the range is 12. for data set b, the range is 10. for data set a, the range is 5. for data set b, the range is 4.

Explanation:

Step1: Recall the formula for range

The range of a data set is calculated as the difference between the maximum value and the minimum value, i.e., \( \text{Range} = \text{Maximum value} - \text{Minimum value} \).

Step2: Calculate the range for Data Set A

For Data Set A: The values are \( 5, 6, 7, 8, 9, 10, 11, 12, 15 \).
The minimum value (\( \text{min} \)) is \( 5 \) and the maximum value (\( \text{max} \)) is \( 15 \).
So, the range for Data Set A is \( 15 - 5 = 10 \).

Step3: Calculate the range for Data Set B

For Data Set B: The values are \( 3, 6, 7, 8, 10, 12, 12, 14, 15 \).
The minimum value (\( \text{min} \)) is \( 3 \) and the maximum value (\( \text{max} \)) is \( 15 \).
So, the range for Data Set B is \( 15 - 3 = 12 \).

Answer:

For data set A, the range is 10.
For data set B, the range is 12.