Question

which set has the greatest range?
{10, 14, 8, 19, 22, 13, 44}
{19, 16, 50, 18, 29, 23, 37}
{11, 9, 31, 29, 15, 17, 20, 24}
{12, 6, 24, 20, 44, 15, 29}

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 first set

For the set $\{10,14,8,19,22,13,44\}$, $\text{Max}=44$, $\text{Min}=8$. So $Range_1 = 44 - 8=36$.

Step3: Calculate range for second set

For the set $\{19,16,50,18,29,23,37\}$, $\text{Max}=50$, $\text{Min}=16$. So $Range_2 = 50 - 16 = 34$.

Step4: Calculate range for third set

For the set $\{11,9,31,29,15,17,20,24\}$, $\text{Max}=31$, $\text{Min}=9$. So $Range_3 = 31 - 9=22$.

Step5: Calculate range for fourth set

For the set $\{12,6,24,20,44,15,29\}$, $\text{Max}=44$, $\text{Min}=6$. So $Range_4 = 44 - 6 = 38$.

Answer:

$\{12,6,24,20,44,15,29\}$