Question

which data set has the greatest range?
○ a 12, 19, 17, 15, 12
○ b 22, 28, 21, 23, 26
○ c 35, 39, 31, 30, 36
○ d 47, 45, 45, 41, 43

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: $12,19,17,15,12$, $\text{Max value}=19$, $\text{Min value}=12$. So, $Range_A=19 - 12=7$.

Step3: Calculate range for data - set B

For data - set B: $22,28,21,23,26$, $\text{Max value}=28$, $\text{Min value}=21$. So, $Range_B=28 - 21 = 7$.

Step4: Calculate range for data - set C

For data - set C: $35,39,31,30,36$, $\text{Max value}=39$, $\text{Min value}=30$. So, $Range_C=39 - 30=9$.

Step5: Calculate range for data - set D

For data - set D: $47,45,45,41,43$, $\text{Max value}=47$, $\text{Min value}=41$. So, $Range_D=47 - 41 = 6$.

Answer:

C. 35, 39, 31, 30, 36