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07 Aug 2025, 07:30
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
83% (01:06) correct
16% (00:35) wrong based on 6 sessions
History
Date
Time
Result
Not Attempted Yet
Sam’s bowling scores for seven games were, in order played, 54, 35, 89, 76, 48, x, and y. Sam’s mode score for the seven games was 76, and his median score was 54. If x < y, which of the following could be the value of x?
A. 50
B. 55
C. 70
D. 76
E. 80
A. 50
B. 55
C. 70
D. 76
E. 80
16 Aug 2025, 04:10
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Official Explanation
The mode of a list is the most frequently recurring number on the list. Since 76 is the mode, 76 must appear at least twice on the list. So at least one of the unknown scores must equal 76. The median, or middle value on a list, is found by first rewriting the given numbers in order from least to greatest. Here, after inserting the second 76, we know these 6 scores: 35, 48, 76, 76, 89.
Since the median is given as 54, draw a triangle below the 54, and think of that as the balancing point. There are three values to the right of the triangle but only two to the left. Therefore, the final missing score must be less than 54, to ensure that 54 is in the middle. Only choice (A), 50, works. Thus, the 37 two missing scores are 50 and 76, and since the problem asks for the smaller of these, (A) is correct.
Answer: A
The mode of a list is the most frequently recurring number on the list. Since 76 is the mode, 76 must appear at least twice on the list. So at least one of the unknown scores must equal 76. The median, or middle value on a list, is found by first rewriting the given numbers in order from least to greatest. Here, after inserting the second 76, we know these 6 scores: 35, 48, 76, 76, 89.
Since the median is given as 54, draw a triangle below the 54, and think of that as the balancing point. There are three values to the right of the triangle but only two to the left. Therefore, the final missing score must be less than 54, to ensure that 54 is in the middle. Only choice (A), 50, works. Thus, the 37 two missing scores are 50 and 76, and since the problem asks for the smaller of these, (A) is correct.
Answer: A
