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17 Oct 2020, 13:08
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D
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Difficulty:
55%
(hard)
Question Stats:
58% (01:26) correct
42%
(01:49)
wrong
based on 222
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What is the arithmetic mean (simple average) of a sequence of consecutive odd integers?
(1) The median of all integers in the sequence is 36.
(2) The sum of the first and last integers in the sequence is 72.
(1) The median of all integers in the sequence is 36.
(2) The sum of the first and last integers in the sequence is 72.
17 Oct 2020, 14:33
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For any equally spaced list of numbers, including a list of consecutive odd integers, the mean, the median, and the average of the smallest and largest things are all equal. So the answer is D; the average is 36.
07 Oct 2022, 10:25
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What is the arithmetic mean (simple average) of a sequence of consecutive odd integers?
============================================================
Theory
============================================================
=> To find the average of 5 values we need to find the sum of these 5 values
STAT 1: The median of all integers in the sequence is 36.
=> From above theory we know that Mean = Median = 36
=> SUFFICIENT
STAT 2: The sum of the first and last integers in the sequence is 72.
=> Average of First and Last term = \(\frac{Sum}{2}\) = \(\frac{72}{2}\) = 36
=> Average of all the numbers = Average of first and last term = 36
=> SUFFICIENT
So, Answer will be D.
Hope it helps!
Watch the following video to learn How to Sequence problems
============================================================
Theory
- ‣‣‣ In case of consecutive terms mean = median = middle term = mean of first and last term.
‣‣‣ Mean or Average = (Sum Of All The Numbers) / (Total Number Of Numbers)
============================================================
=> To find the average of 5 values we need to find the sum of these 5 values
STAT 1: The median of all integers in the sequence is 36.
=> From above theory we know that Mean = Median = 36
=> SUFFICIENT
STAT 2: The sum of the first and last integers in the sequence is 72.
=> Average of First and Last term = \(\frac{Sum}{2}\) = \(\frac{72}{2}\) = 36
=> Average of all the numbers = Average of first and last term = 36
=> SUFFICIENT
So, Answer will be D.
Hope it helps!
Watch the following video to learn How to Sequence problems
