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For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio

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Bunuel
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For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio [#permalink] New post   15 Aug 2019, 00:32
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For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio of the mean to the median?

A. 1
B. 2
C. (k + 1)/2
D. (2k + 1)/2
E. (2k + 2)/(2k - 1)
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A
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Mohammadmo
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Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio [#permalink] New post   15 Aug 2019, 03:00
K-2,k,k+1,k+3
Mean: 4k+2 /4 =k + 1/2
Median : k+k+1 /2=k + 1/2
The ratio is 1.
Option A

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Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio [#permalink] New post   24 Jan 2020, 12:16
1) organize the values
- K - 2 , k , K+1, K+3
2) Plug 10 in for K
- 8,10,11,13
3) Set up ratio mean / median
4) find mean & median
- mean = 10 + 11 = 21
- Median = 10 + 11 = 21
5) Plug back mean and median into ration
- 21/21
Answer A = 1
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Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio [#permalink] New post   24 Jan 2020, 14:35
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Solution



Given
In this question, we are given that
    • Positive integers k, k + 1, k – 2, and k + 3

To find
We need to determine
    • The ratio of the mean and median of the given numbers

Approach and Working out
Mean of the numbers = ¼ (k + k + 1 + k – 2 + k + 3) = k + 0.5

Numbers in ascending order: k – 2, k, k + 1, k + 3
Hence, the median = ½ (k + k + 1) = k + 0.5

    • Therefore, the required ratio = (k + 0.5)/(k + 0.5) = 1

Thus, option A is the correct answer.

Correct Answer: Option A
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Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio [#permalink] New post   24 Jan 2020, 20:55
The main idea to solve this question is arranging the terms in ascending order for finding the Median.Doing mistake in this will give a wrong answer.
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Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio [#permalink]
24 Jan 2020, 20:55
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