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13 Nov 2024, 01:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
44% (02:07) correct
56%
(02:16)
wrong
based on 163
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58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88
The number of students in each of 10 different classes is a different number from the above list. What is the standard deviation of the number of students in the 10 classes?
(1) The median number of students is equal to the mean number of students in the 10 classes.
(2) The number of students in any class is more than 63 and the average number of students in the 10 classes is same as the average of the above list.
The number of students in each of 10 different classes is a different number from the above list. What is the standard deviation of the number of students in the 10 classes?
(1) The median number of students is equal to the mean number of students in the 10 classes.
(2) The number of students in any class is more than 63 and the average number of students in the 10 classes is same as the average of the above list.
13 Nov 2024, 04:51
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For me ans e,
From all the info we know:
1) avg=median
2)all of the figures< 63, avg=72
the thing is for ex, five class can be 71, and other five 73, all of the info given are verified, and it's also the same if we take five classes with 69 people and tho other classes with 75 people, both of this outlines will be with a different standar deviation
From all the info we know:
1) avg=median
2)all of the figures< 63, avg=72
the thing is for ex, five class can be 71, and other five 73, all of the info given are verified, and it's also the same if we take five classes with 69 people and tho other classes with 75 people, both of this outlines will be with a different standar deviation
13 Nov 2024, 13:49
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I think it's B because option 1 tells us that mean and median is same, which means they have to be consecutive but it doesn't lead us to conclude the fact that which 10 could be the set. Option 2 is sufficient because it says that the lowest number is more than 63, i.e. 64 in this case. It also says the avg of 10 classes is same as that of the set. Now if we look 64 is at the 4th position from the start, likewise if we look at 4th position from the end,the number will be 82. So between 64 and 82(inclusive) we have 10 classes and their avg(73) is same as the avg of the whole set. That way we know the set of 10 we are looking for is 64,66...82 and based on it we can calculate the standard deviation.
64,66,68,70,72,74,76,78,80,82)
