Question

in which data set does the range have the greatest measure of spread?
a 23, 56, 45, 65, 59
b 55, 62, 54, 85, 25
c 54, 26, 62, 47, 98
d 69, 56, 48, 41, 75

Explanation:

Step1: Recall range formula

The range of a data - set is calculated as $Range = \text{Max value}-\text{Min value}$.

Step2: Calculate range for data - set A

For data - set A: $\text{Max}=65$, $\text{Min}=23$, so $Range_A=65 - 23=42$.

Step3: Calculate range for data - set B

For data - set B: $\text{Max}=85$, $\text{Min}=25$, so $Range_B=85 - 25 = 60$.

Step4: Calculate range for data - set C

For data - set C: $\text{Max}=98$, $\text{Min}=26$, so $Range_C=98 - 26=72$.

Step5: Calculate range for data - set D

For data - set D: $\text{Max}=75$, $\text{Min}=41$, so $Range_D=75 - 41 = 34$.

Answer:

C. 54, 26, 62, 47, 98