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If x, y and z are the respective mean, median and mode of heights amon
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07 Feb 2022, 06:00
07 Feb 2022, 06:00
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Question Stats:
65% (01:36) correct
34% (01:28) wrong based on 29 sessions
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If x, y and z are the respective mean, median and mode of heights among 10 students and y < x < z, which of the following is true about their relationships?
(A) There are more students whose heights are greater than x
(B) The tallest student has a height of z
(C) x is the average of y and z
(D) The shortest student has a height of less than x
(E) The middle student has a height of x
(A) There are more students whose heights are greater than x
(B) The tallest student has a height of z
(C) x is the average of y and z
(D) The shortest student has a height of less than x
(E) The middle student has a height of x
Re: If x, y and z are the respective mean, median and mode of heights amon
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10 Apr 2022, 01:52
10 Apr 2022, 01:52
least value of any set is equal to or lesser than mean....So option D
Re: If x, y and z are the respective mean, median and mode of heights amon
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10 Apr 2022, 17:39
10 Apr 2022, 17:39
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Let´s see an example:
(10, 15, 20, 60, 105, 105, 380)
Median (y): 60
Mean (x): 99,28
Mode (z): 105
(A) There are more students whose heights are greater than x - No, 3 out of 7.
(B) The tallest student has a height of z - No, it´s 380.
(C) x is the average of y and z - No, the average of y and z is 82,5
(D) The shortest student has a height of less than x
(E) The middle student has a height of x - No, this is median.
(10, 15, 20, 60, 105, 105, 380)
Median (y): 60
Mean (x): 99,28
Mode (z): 105
(A) There are more students whose heights are greater than x - No, 3 out of 7.
(B) The tallest student has a height of z - No, it´s 380.
(C) x is the average of y and z - No, the average of y and z is 82,5
(D) The shortest student has a height of less than x
(E) The middle student has a height of x - No, this is median.
