which set has the greatest range?\n{10, 14, 8, 19, 22, 13, 44}\n{19, 16, 50, 18, 29, 23, 37}\n{11, 9, 31…

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

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

Answer

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:

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