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

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Math Expert
Joined: 02 Sep 2009
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For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio  [#permalink]

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14 Aug 2019, 23:32
1
1
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Difficulty:

25% (medium)

Question Stats:

72% (01:23) correct 28% (01:42) wrong based on 90 sessions

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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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Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio  [#permalink]

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15 Aug 2019, 02:00
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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Concentration: Finance, Operations
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Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio  [#permalink]

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24 Jan 2020, 11:16
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
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Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio  [#permalink]

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24 Jan 2020, 13:35

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.

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Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio  [#permalink]

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24 Jan 2020, 19:55
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.
Re: For the positive numbers, k, k + 1, k - 2, k + 3, what is the ratio   [#permalink] 24 Jan 2020, 19:55
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