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16 Sep 2014, 01:22
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20 rolls of a fair six-sided die produced the following results:
What is the median score of these rolls?
A. 2.50
B. 3.00
C. 3.35
D. 3.50
E. 4.00
What is the median score of these rolls?
A. 2.50
B. 3.00
C. 3.35
D. 3.50
E. 4.00
16 Sep 2014, 01:22
Kudos
Bookmarks
Official Solution:
20 rolls of a fair six-sided die produced the following results:
What is the median score of these rolls?
A. 2.50
B. 3.00
C. 3.35
D. 3.50
E. 4.00
For a list with an even number of terms, the median is the average of the two middle terms when the list is arranged in ascending or descending order. Thus, the median for our list of 20 terms is the average of the 10th and 11th terms:
1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6.
The median is, therefore, \(\frac{3+3}{2}=3\).
Answer: B
20 rolls of a fair six-sided die produced the following results:
What is the median score of these rolls?
A. 2.50
B. 3.00
C. 3.35
D. 3.50
E. 4.00
For a list with an even number of terms, the median is the average of the two middle terms when the list is arranged in ascending or descending order. Thus, the median for our list of 20 terms is the average of the 10th and 11th terms:
1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6.
The median is, therefore, \(\frac{3+3}{2}=3\).
Answer: B
15 Oct 2023, 15:54
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
