Question

of the following data sets, which has the greatest range?
a. {3,4,5,6,7,8,9,10,11,12}
b. {1,5,3,11,6}
c. {1,10}
d. {100,100}

Explanation:

Step1: Calculate range for set A

Range = max - min. For set A \(\{3,4,5,6,7,8,9,10,11,12\}\), max = 12, min = 3. Range = \(12 - 3=9\)

Step2: Calculate range for set B

For set B\(\{1,5,3,11,6\}\), sort the set: \(\{1,3,5,6,11\}\). Max = 11, min = 1. Range = \(11 - 1 = 10\)

Step3: Calculate range for set C

For set C\(\{1,10\}\), max = 10, min = 1. Range = \(10 - 1=9\)

Step4: Calculate range for set D

For set D\(\{100,100\}\), max = 100, min = 100. Range = \(100 - 100 = 0\)

Answer:

B. \(\{1,5,3,11,6\}\)