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If x is the median, y is the mean, and z is the mode of a certain data
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27 Apr 2022, 00:00
27 Apr 2022, 00:00
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Question Stats:
75% (01:21) correct
25% (02:06) wrong based on 4 sessions
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If x is the median, y is the mean, and z is the mode of a certain data-set consisting of 11 positive integers, and x < y < z, which of the following must be true?
(A) y is the arithmetic mean (average) of x and z
(B) There are more integers that are less than x than that are greater than x.
(C) z is the greatest value among the data.
(D) If 2 integers of the lowest value are removed, the value of z will change.
(E) The sum of all the integers is 11y.
(A) y is the arithmetic mean (average) of x and z
(B) There are more integers that are less than x than that are greater than x.
(C) z is the greatest value among the data.
(D) If 2 integers of the lowest value are removed, the value of z will change.
(E) The sum of all the integers is 11y.
Part of the project: Skill Builder Project for a Q170
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: If x is the median, y is the mean, and z is the mode of a certain data
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27 Apr 2022, 10:46
27 Apr 2022, 10:46
1
Mean = sum of all the no. / count of all the no., this holds true irrespective of how data is distributed.
Since we have 11 no. and mean is y, sum of all the no. should be equal to 11*y
Hence option E is the correct ans
Since we have 11 no. and mean is y, sum of all the no. should be equal to 11*y
Hence option E is the correct ans
gmatclubot
Re: If x is the median, y is the mean, and z is the mode of a certain data [#permalink]
27 Apr 2022, 10:46
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