select the correct answer.\nwhich data set has the greatest spread?\nset a - {84, 91, 87, 77, 94, 89…

select the correct answer.\nwhich data set has the greatest spread?\nset a - {84, 91, 87, 77, 94, 89, 74}\nset b - {89, 73, 84, 91, 87, 77, 94}\nset c - {73, 84, 89, 88, 77, 91, 87, 90}\nset d - {84, 89, 88, 82, 91, 87, 99}\na. set a\nb. set b\nc. set c\nd. set d
Answer
Explanation:
Step1: Calculate the range for Set A
The range is calculated as ( \text{Range}=\text{Max}-\text{Min} ). For Set A: ( \text{Max} = 94 ), ( \text{Min}=74 ) ( \text{Range}=94 - 74=20 )
Step2: Calculate the range for Set B
For Set B: ( \text{Max} = 94 ), ( \text{Min}=73 ) ( \text{Range}=94 - 73 = 21 )
Step3: Calculate the range for Set C
For Set C: ( \text{Max} = 91 ), ( \text{Min}=73 ) ( \text{Range}=91 - 73=18 )
Step4: Calculate the range for Set D
For Set D: ( \text{Max} = 99 ), ( \text{Min}=82 ) ( \text{Range}=99 - 82=17 )
Answer:
B. Set B