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: Calculate range for each set

The formula for range is \( \text{Range}=\text{Max}-\text{Min} \).
For set \(\{12,6,24,20,44,15,29\}\):
\(\text{Max} = 44\), \(\text{Min}=6\), so \(\text{Range}=44 - 6=38\).

Step2: Calculate range for second set

For set \(\{11,9,31,29,15,17,20,24\}\):
\(\text{Max} = 31\), \(\text{Min}=9\), so \(\text{Range}=31 - 9 = 22\).

Step3: Calculate range for third set

For set \(\{19,16,50,18,29,23,37\}\):
\(\text{Max}=50\), \(\text{Min}=16\), so \(\text{Range}=50 - 16=34\).

Step4: Calculate range for fourth set

For set \(\{10,14,8,19,22,13,44\}\):
\(\text{Max}=44\), \(\text{Min}=8\), so \(\text{Range}=44 - 8=36\).

Answer:

\(\{12,6,24,20,44,15,29\}\)