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26 Sep 2023, 05:17
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
28% (00:59) correct
72%
(00:55)
wrong
based on 113
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In a certain class of \(n\) students, the average (arithmetic mean) weight of all students is \(50\) kg. A new student joins the class. Does the standard deviation of the weight of the students decrease after the new student joins in?
1) The weight of the new student is \(50\) kg
2) \(n = 5\)
1) The weight of the new student is \(50\) kg
2) \(n = 5\)
Similar Question: Link
26 Sep 2023, 15:34
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I think the answer should be E.
First statement:- if the rest of the students also weigh 50 kg then the SD will be constant. if all the student weights are distinct in value then SD will decrease. Insufficient
Second statement: we still don't know the weight of the rest of the students. Insufficient
Together, Insufficient.
Please correct me if I'm wrong and post the answer
First statement:- if the rest of the students also weigh 50 kg then the SD will be constant. if all the student weights are distinct in value then SD will decrease. Insufficient
Second statement: we still don't know the weight of the rest of the students. Insufficient
Together, Insufficient.
Please correct me if I'm wrong and post the answer
26 Sep 2023, 23:50
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1) As the standard devation measures the spread around the mean, adding a value to a set that is equal to the mean can have two effects:
In the case that the set is composed of just the mean so (50,50,...) the SD will remain unchanged
In the case set is composed of different integers, the SD will decrease.
Ins.
2) Clearly ins.
3)
Nothing is known about the type of set, so both are ins.
E
Posted from my mobile device
In the case that the set is composed of just the mean so (50,50,...) the SD will remain unchanged
In the case set is composed of different integers, the SD will decrease.
Ins.
2) Clearly ins.
3)
Nothing is known about the type of set, so both are ins.
E
Posted from my mobile device
