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In the distribution of the variable A, the mean is 56....
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Updated on: 08 Mar 2021, 22:59
Updated on: 08 Mar 2021, 22:59
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Question Stats:
80% (00:53) correct
20% (01:20) wrong based on 25 sessions
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In the distribution of the variable A, the mean is 56 and the measurement p lies between the 65th and 70th percentiles. In the distribution of measurements of variable B, the mean is 56 and the measurement q lies between the 75th and 80th percentiles.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
p |
q |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Originally posted by bunterocks on 30 Oct 2020, 02:10.
Last edited by Carcass on 08 Mar 2021, 22:59, edited 1 time in total.
Last edited by Carcass on 08 Mar 2021, 22:59, edited 1 time in total.
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Re: In the distribution of the variable A, the mean is 56....
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30 Oct 2020, 10:14
30 Oct 2020, 10:14
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So in A distribution the score is closer to the mean --> so it could be that the SD is lesser.
in the second distribution its farther off --> so SD can be more.
But there is no way of being certain because there is no information about the population, or SD. Assuming that the population is same, then B is greater, because the SD ideally should be higher.
Would love an expert reply
in the second distribution its farther off --> so SD can be more.
But there is no way of being certain because there is no information about the population, or SD. Assuming that the population is same, then B is greater, because the SD ideally should be higher.
Would love an expert reply
Re: In the distribution of the variable A, the mean is 56....
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30 Oct 2020, 13:16
30 Oct 2020, 13:16
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Imo D. While we're told that both populations have a mean of 56, we're given no information about the distributions. If the distributions are identical normal curves (bell-curved), then p will be greater because it's in a higher percentile. However, if both distributions are uniform (i.e. every value is 56), then p and q will be equal. Also, if distribution A is uniform and distribution B is normal, then q will be greater.
Thus it's impossible to determine the relationship between p and q and the answer is D.
Thus it's impossible to determine the relationship between p and q and the answer is D.
