in which data set does the range have the greatest measure of spread?\na 23, 56, 45, 65, 59\nb 55, 62, 54…

in which data set does the range have the greatest measure of spread?\na 23, 56, 45, 65, 59\nb 55, 62, 54, 85, 25\nc 54, 26, 62, 47, 98\nd 69, 56, 48, 41, 75

in which data set does the range have the greatest measure of spread?\na 23, 56, 45, 65, 59\nb 55, 62, 54, 85, 25\nc 54, 26, 62, 47, 98\nd 69, 56, 48, 41, 75

Answer

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