Question

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

Explanation:

Step1: Calculate range for first set

Range = max - min. For {10, 14, 8, 19, 22, 13, 44}, max = 44, min = 8. Range = \(44 - 8=36\)

Step2: Calculate range for second set

For {11, 9, 31, 29, 15, 17, 20, 24}, max = 31, min = 9. Range = \(31 - 9 = 22\)

Step3: Calculate range for third set

For {19, 16, 50, 18, 29, 23, 37}, max = 50, min = 16. Range = \(50 - 16=34\)

Step4: Calculate range for fourth set

For {12, 6, 24, 20, 44, 15, 29}, max = 44, min = 6. Range = \(44 - 6=38\)

Answer:

The set \(\{12, 6, 24, 20, 44, 15, 29\}\) has the greatest range.