Question

question 2 of 10
which data set has the largest range?

a. 14, 19, 18, 35, 32, 38, 40
b. 5, 6, 75
c. 1, 9, 2, 5, 4, 19, 2, 4, 3
d. 102, 105, 103, 110

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 A

For data - set A: $\text{Max}=40$, $\text{Min}=14$. So, $Range_A=40 - 14=26$.

Step3: Calculate range for B

For data - set B: $\text{Max}=75$, $\text{Min}=5$. So, $Range_B=75 - 5 = 70$.

Step4: Calculate range for C

For data - set C: $\text{Max}=19$, $\text{Min}=1$. So, $Range_C=19 - 1=18$.

Step5: Calculate range for D

For data - set D: $\text{Max}=110$, $\text{Min}=102$. So, $Range_D=110 - 102 = 8$.

Step6: Compare ranges

Comparing $Range_A = 26$, $Range_B=70$, $Range_C = 18$, and $Range_D = 8$, we can see that $Range_B$ is the largest.

Answer:

B. 5, 6, 75