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Which of the values in the options below can p take if the average of
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23 Oct 2024, 00:01
23 Oct 2024, 00:01
Expert Reply
00:00
Question Stats:
66% (01:30) correct
33% (00:22) wrong based on 3 sessions
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Which of the values in the options below can p take if the average of p, 30, 40 is same as the median of 40, 30 and p?
A. 0
B. 15
C. 30
D. 35
E. 20
A. 0
B. 15
C. 30
D. 35
E. 20
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Re: Which of the values in the options below can p take if the average of
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18 Dec 2024, 13:32
18 Dec 2024, 13:32
Expert Reply
We need to check the number of values of $p$ for which the mean of the set $\(30,40 \& p\)$ is same as its median.
We know that mean is same as the median when numbers are consecutive or are in arithmetic sequence (Arithmetic sequence is a sequence in which consecutive terms have same gap between them, for example $\(\mathrm{a}, \mathrm{a}+\mathrm{d}, \mathrm{a}+2 \mathrm{~d}, \mathrm{a}+3 \mathrm{~d} \&\)$ so on).
The numbers $\(30,40 \& p\)$ can form an arithmetic sequence if $\(x=20\)$ or $\(x=35\)$ or $\(x=50\)$.
Thus, for the above three values of p , the numbers $\(30,40 \& \mathrm{p}\)$ will have same gap, so are the possible values of $\(p\)$.
Hence options (D) \& (E) are correct.
We know that mean is same as the median when numbers are consecutive or are in arithmetic sequence (Arithmetic sequence is a sequence in which consecutive terms have same gap between them, for example $\(\mathrm{a}, \mathrm{a}+\mathrm{d}, \mathrm{a}+2 \mathrm{~d}, \mathrm{a}+3 \mathrm{~d} \&\)$ so on).
The numbers $\(30,40 \& p\)$ can form an arithmetic sequence if $\(x=20\)$ or $\(x=35\)$ or $\(x=50\)$.
Thus, for the above three values of p , the numbers $\(30,40 \& \mathrm{p}\)$ will have same gap, so are the possible values of $\(p\)$.
Hence options (D) \& (E) are correct.
gmatclubot
Re: Which of the values in the options below can p take if the average of [#permalink]
18 Dec 2024, 13:32
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