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 range formula

Range is calculated as \( \text{Range} = \text{Maximum value} - \text{Minimum value} \).

Step2: Calculate range for Data Set A

For Data Set A: Values are 5, 6, 7, 8, 9, 10, 11, 12, 15.
Maximum value \( = 15 \), Minimum value \( = 5 \).
Range \( = 15 - 5 = 10 \).

Step3: Calculate range for Data Set B

For Data Set B: Values are 3, 6, 7, 8, 10, 12, 12, 14, 15.
Maximum value \( = 15 \), Minimum value \( = 3 \).
Range \( = 15 - 3 = 12 \).

Answer:

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