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18 Feb 2024, 04:57
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Must have been true: If no avatar had exactly 742 health points, then the number of avatars that had more than 742 health points was equal to the number of avatars that had fewer than 742 health points.
Must have been false: More than half of all of the avatars had greater than 750 health points.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
63% (02:24) correct
37%
(02:27)
wrong
based on 1390
sessions
History
Date
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Not Attempted Yet
In a particular online role-playing game, a player's character (that is, an avatar) has a certain number of health points (indicating the amount of damage that the avatar can receive before being incapacitated). On a particular date, a single scan of every avatar's health points indicated that the median number of health points for all avatars was 742.
Assuming that the information provided is accurate, select for Must have been true the statement that must have been true with respect to the scan on that date. Select for Must have been false the statement that must have been false with respect to the scan on that date. Make only two selections, one in each column.
Assuming that the information provided is accurate, select for Must have been true the statement that must have been true with respect to the scan on that date. Select for Must have been false the statement that must have been false with respect to the scan on that date. Make only two selections, one in each column.
| Must have been true | Must have been false | |
| Less than half of all of the avatars had greater than 750 health points. | ||
| More than half of all of the avatars had greater than 750 health points. | ||
| The scan indicated that the mean of all of the avatars' health points was 750. | ||
| No more than one avatar had exactly 742 health points. | ||
| If no avatar had exactly 742 health points, then the number of avatars that had more than 742 health points was equal to the number of avatars that had fewer than 742 health points. |
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Official Answer
Must have been true: If no avatar had exactly 742 health points, then the number of avatars that had more than 742 health points was equal to the number of avatars that had fewer than 742 health points.
Must have been false: More than half of all of the avatars had greater than 750 health points.
18 Feb 2024, 05:23
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DerekLin
The question has nothing to do with avatar or health points/status. It is merely a question on medians.
So, the median is 742, that is the middle of the numbers is 742. How many numbers - Not known.
Even numbers: 742 need not be there in the list.... 1, 1, 700, 784,800,1000 or 2,742,742,742,742,790
Odd numbers/elements: 742 will be in the list.....1,1,742,800,1000 or 1,2,742,748,7420
Let us check the options
Quote:
- Need not be true... 1, 2, 700, 784, 800,900;
- Would be true if tere are odd numbers of elements....1, 2, 742, 780,800
Quote:
- As the median is 742, there will never be a case. At the max, the exactly half can have greater than 750 points.
- Never true
Quote:
- As we do not know the number of elements, it is not possible to comment on mean. 742, 742, 1000000 and 1, 742, 743 will give different answers.
Quote:
- All could have also had 742 health points
Quote:
- If 742 is not in th elist, then we have even number of elements, half out of which are less than 742 and remaining greater than 742.
- Always true
