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What is the arithmetic mean (simple average) of a sequence of consecut

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Bunuel
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What is the arithmetic mean (simple average) of a sequence of consecut [#permalink] What is the arithmetic mean (simple average) of a sequence of consecut   17 Oct 2020, 13:08
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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.
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D
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Re: What is the arithmetic mean (simple average) of a sequence of consecut [#permalink] What is the arithmetic mean (simple average) of a sequence of consecut   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.
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Re: What is the arithmetic mean (simple average) of a sequence of consecut [#permalink] What is the arithmetic mean (simple average) of a sequence of consecut   07 Oct 2022, 10:25
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What is the arithmetic mean (simple average) of a sequence of consecutive odd integers?

============================================================

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!

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Re: What is the arithmetic mean (simple average) of a sequence of consecut [#permalink] What is the arithmetic mean (simple average) of a sequence of consecut   06 May 2024, 23:57
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Re: What is the arithmetic mean (simple average) of a sequence of consecut [#permalink]
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