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

Range is calculated as \( \text{Range} = \text{Maximum value} - \text{Minimum value} \). We will calculate the range for each set.

Step2: Calculate range for first set

Set: \( \{10, 14, 8, 19, 22, 13, 44\} \)
Max = 44, Min = 8
Range = \( 44 - 8 = 36 \)

Step3: Calculate range for second set

Set: \( \{19, 16, 50, 18, 29, 23, 37\} \)
Max = 50, Min = 16
Range = \( 50 - 16 = 34 \)

Step4: Calculate range for third set

Set: \( \{11, 9, 31, 29, 15, 17, 20, 24\} \)
Max = 31, Min = 9
Range = \( 31 - 9 = 22 \)

Step5: Calculate range for fourth set

Set: \( \{12, 6, 24, 20, 44, 15, 29\} \)
Max = 44, Min = 6
Range = \( 44 - 6 = 38 \)

Answer:

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