Question

which of the following data sets has a range of 40? a. {40, 10, 20, 100} b. {40, 10, 20, 80} c. {40, 10, 20, 50} d. {40, 10, 20, 40} please select the best answer from the choices provided

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 option a

For the data - set $\{40,10,20,100\}$, $\text{Max value}=100$, $\text{Min value}=10$. So, $Range = 100 - 10=90$.

Step3: Calculate range for option b

For the data - set $\{40,10,20,80\}$, $\text{Max value}=80$, $\text{Min value}=10$. So, $Range = 80 - 10 = 70$.

Step4: Calculate range for option c

For the data - set $\{40,10,20,50\}$, $\text{Max value}=50$, $\text{Min value}=10$. So, $Range = 50 - 10=40$.

Step5: Calculate range for option d

For the data - set $\{40,10,20,40\}$, $\text{Max value}=40$, $\text{Min value}=10$. So, $Range = 40 - 10 = 30$.

Answer:

C. $\{40,10,20,50\}$