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If set S consists of the first 10 positive even numbers, what is the 14 Sep 2022, 04:34
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85% (01:06) correct 15% (01:26) wrong based on 86 sessions

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If set S consists of the first 10 positive even numbers, what is the positive difference between the median and the mean of set S?

(A) 0
(B) 1
(C) 2
(D) 4
(E) It cannot be determined from the information given.
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If set S consists of the first 10 positive even numbers, what is the 14 Sep 2022, 04:52
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carcass
If set S consists of the first 10 positive even numbers, what is the positive difference between the median and the mean of set S?

(A) 0
(B) 1
(C) 2
(D) 4
(E) It cannot be determined from the information given.

Set S = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18}

Mean = \(\frac{Sum}{10}\) = \(\frac{90}{10}\) = 9

Median = Average of \(\frac{n}{2}\)th term and \(\frac{n}{2} + 1\)th term

= Average of 5th and 6th term = \(\frac{(8+10)}{2} = 9\)

Difference between Mean & Median = 9 - 9 = 0
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If set S consists of the first 10 positive even numbers, what is the 14 Sep 2022, 05:48
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For evenly spaced numbers, the mean and median are equal. Hence the difference is zero. Correct answer is Option A
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If set S consists of the first 10 positive even numbers, what is the 14 Sep 2022, 08:53
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property :

for any set of consecutive set of numbers ; the +ve difference of median and mean is always '0'
option A ; 0

carcass
If set S consists of the first 10 positive even numbers, what is the positive difference between the median and the mean of set S?

(A) 0
(B) 1
(C) 2
(D) 4
(E) It cannot be determined from the information given.
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If set S consists of the first 10 positive even numbers, what is the 08 Mar 2023, 00:28
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av1901
carcass
If set S consists of the first 10 positive even numbers, what is the positive difference between the median and the mean of set S?

(A) 0
(B) 1
(C) 2
(D) 4
(E) It cannot be determined from the information given.

Set S = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18}

Mean = \(\frac{Sum}{10}\) = \(\frac{90}{10}\) = 9

Median = Average of \(\frac{n}{2}\)th term and \(\frac{n}{2} + 1\)th term

= Average of 5th and 6th term = \(\frac{(8+10)}{2} = 9\)

Difference between Mean & Median = 9 - 9 = 0

isnt 0 a non-negative number? so why have we considered 0 in calculation, as the ques asks specifically positive integer?
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If set S consists of the first 10 positive even numbers, what is the 08 Mar 2023, 00:36
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Urvasi
av1901
carcass
If set S consists of the first 10 positive even numbers, what is the positive difference between the median and the mean of set S?

(A) 0
(B) 1
(C) 2
(D) 4
(E) It cannot be determined from the information given.

Set S = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18}

Mean = \(\frac{Sum}{10}\) = \(\frac{90}{10}\) = 9

Median = Average of \(\frac{n}{2}\)th term and \(\frac{n}{2} + 1\)th term

= Average of 5th and 6th term = \(\frac{(8+10)}{2} = 9\)

Difference between Mean & Median = 9 - 9 = 0

isnt 0 a non-negative number? so why have we considered 0 in calculation, as the ques asks specifically positive integer?

You are right that 0, being a nonnegative integer, should not be part of the set. However, it's important to note that for evenly spaced sets like the consecutive even integers, the median and mean are equal. As a result, the difference between the median and mean of any evenly spaced set is always zero.
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