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Given median of a five number
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Updated on: 30 Aug 2016, 02:14
Updated on: 30 Aug 2016, 02:14
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Given median of a five number set as 24.5. If a value k is added to each number in the set, then the new median becomes 28.5. What is the value of k?
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Originally posted by Sonalika42 on 28 Aug 2016, 03:17.
Last edited by Sonalika42 on 30 Aug 2016, 02:14, edited 1 time in total.
Last edited by Sonalika42 on 30 Aug 2016, 02:14, edited 1 time in total.
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Re: Given median of a five number
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29 Aug 2016, 15:39
29 Aug 2016, 15:39
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Sonalika42 wrote:
Given median of a five number set as 24.5. If a value k is added to each number in the set, then the new median becomes 28.5. What is the value of k?
A quick approach to choose an initial set that satisfies the given condition.
Here's a 5-number set with a median of 24.5: {1, 2, 24.5, 27, 28}
Add k to each number in the set to get: {1+k, 2+k, 24.5+k, 27+k, 28+k}
As we can see, the median of the NEW SET is 24.5+k
Since we're told the new median is 28.5, we can write: 24.5+k = 28.5
Solve for k to get k = 4
Answer:
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