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: Find range of Set A
Range = Max - Min. For Set A: Max=94, Min=74. So range = ( 94 - 74 = 20 ).
Step2: Find range of Set B
For Set B: Max=94, Min=73. Range = ( 94 - 73 = 21 ).
Step3: Find range of Set C
For Set C: Max=91, Min=73. Range = ( 91 - 73 = 18 ).
Step4: Find range of Set D
For Set D: Max=99, Min=82. Range = ( 99 - 82 = 17 ).
Step5: Compare ranges
Set B has range 21, which is greater than others (20, 18, 17).
Answer:
B. Set B