Question

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

Explanation:

Step1: Recall the formula for range

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

Step2: Calculate the range for option a

For the data set \(\{40,10,20,100\}\), \(\text{Max} = 100\) and \(\text{Min}=10\). Then \( \text{Range}=100 - 10=90\).

Step3: Calculate the range for option b

For the data set \(\{40,10,20,80\}\), \(\text{Max} = 80\) and \(\text{Min}=10\). Then \( \text{Range}=80 - 10=70\).

Step4: Calculate the range for option c

For the data set \(\{40,10,20,50\}\), \(\text{Max} = 50\) and \(\text{Min}=10\). Then \( \text{Range}=50 - 10=40\).

Step5: Calculate the range for option d

For the data set \(\{40,10,20,40\}\), \(\text{Max} = 40\) and \(\text{Min}=10\). Then \( \text{Range}=40 - 10=30\).

Answer:

C. \(\{40,10,20,50\}\)