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15 May 2018, 02:51
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (01:05) correct
13%
(01:15)
wrong
based on 82
sessions
History
Date
Time
Result
Not Attempted Yet
3, 7, 9, 14, x
The numbers in the list above are ordered from least to greatest. If the average (arithmetic mean) is 2 greater than the median, what is the value of x?
(A) 22
(B) 20
(C) 17
(D) 16
(E) 15
The numbers in the list above are ordered from least to greatest. If the average (arithmetic mean) is 2 greater than the median, what is the value of x?
(A) 22
(B) 20
(C) 17
(D) 16
(E) 15
15 May 2018, 03:02
Kudos
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Solution
Given:
• List of numbers = {3, 7, 9, 14, x}
• The numbers in the list are ordered from least to greatest
• Arithmetic mean is 2 greater than median
To find:
• The value of x
Approach and Working:
• Median denotes the middle-most number in a given series
- o As the numbers in the list are already in ascending order, median = 9
• Therefore, total of 5 numbers = 11 * 5 = 55
- o Or, 3 + 7 + 9 + 14 + x = 55
Or, 33 + x = 55
Or, x = 55 – 33 = 22
Hence, the correct answer is option A.
Answer: A
