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28 Jul 2022, 08:15
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C
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Difficulty:
25%
(medium)
Question Stats:
82% (01:49) correct
18%
(02:06)
wrong
based on 38
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During a semester of her U.S. history class, Sophia received quiz scores of 85, 76, 98, 76, 100, and 75. How much greater is Sophia’s average (arithmetic mean) quiz score than the mode of the set of scores?
A. 1
B. 5
C. 9
D. 10
E. 14
A. 1
B. 5
C. 9
D. 10
E. 14
31 Jul 2022, 21:33
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Theory
Sophia received quiz scores of 85, 76, 98, 76, 100, and 75
=> Average = Sum/6 (As there are 6 scores)
= \(\frac{85 + 76 + 98 + 76 + 100 + 75}{6}\) = \(\frac{510}{6}\) = 85
Mode of the set will be 76 as 76 has occurred the maximum number of times in the set.
=> Sophia's Average is 85-76 = 9 greater than her mode.
So, Answer will be C.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
- ➡ Mean or Average = Sum of All the Values / Total Number of Values
➡ Mode is the number which has occurred the maximum number of times in the set.
Sophia received quiz scores of 85, 76, 98, 76, 100, and 75
=> Average = Sum/6 (As there are 6 scores)
= \(\frac{85 + 76 + 98 + 76 + 100 + 75}{6}\) = \(\frac{510}{6}\) = 85
Mode of the set will be 76 as 76 has occurred the maximum number of times in the set.
=> Sophia's Average is 85-76 = 9 greater than her mode.
So, Answer will be C.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
