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16 Aug 2010, 11:15
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E
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Difficulty:
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Question Stats:
74% (00:56) correct
26%
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The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 43. What is a possible value for the mean of the distribution?
A. 46
B. 47
C. 48
D. 49
E. 50
A. 46
B. 47
C. 48
D. 49
E. 50
16 Aug 2010, 11:21
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aiming4mba
The standard deviation ({SD}) = 2;
3 standard deviations below the mean is greater than 43:
{Mean} - 3*{SD} > 43;
{Mean} - 6 > 43;
{Mean} > 49.
Answer: E.
29 May 2015, 02:10
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Hi All,
Presenting the visual representation of the normal distribution curve:
A normal distribution curve is also known as the bell curve.
Such questions on standard deviation are centered around the following 4 variables:
I. Mean of the distribution
II. Standard Deviation of the distribution
III. A data point of the distribution
IV. Distance of data point from the mean
These variables are related as
Data Point = Mean +/- Distance from the mean where the distance from mean is expressed in terms of standard deviation
Out of these 4 variables, the question is likely to give you 3 and ask you to find the fourth variable.
Let's see what have we been given in the question statement
I. Mean- Need to find (let's assume it to be \(m\))
II. Standard deviation of the distribution - \(2\)
III. A data point of the distribution- \(43\)
IV. Distance of data point from the mean - \(3\) standard deviations below mean
We can write
\(43 < m - 3 * 2\) ( we put in a '-' sign as the data point is below mean)
\(m > 49\). Out of the given options only Option E has a value greater than \(49\).
Hope this helps
Regards
Harsh
Presenting the visual representation of the normal distribution curve:
A normal distribution curve is also known as the bell curve.
Such questions on standard deviation are centered around the following 4 variables:
I. Mean of the distribution
II. Standard Deviation of the distribution
III. A data point of the distribution
IV. Distance of data point from the mean
These variables are related as
Data Point = Mean +/- Distance from the mean where the distance from mean is expressed in terms of standard deviation
Out of these 4 variables, the question is likely to give you 3 and ask you to find the fourth variable.
Let's see what have we been given in the question statement
I. Mean- Need to find (let's assume it to be \(m\))
II. Standard deviation of the distribution - \(2\)
III. A data point of the distribution- \(43\)
IV. Distance of data point from the mean - \(3\) standard deviations below mean
We can write
\(43 < m - 3 * 2\) ( we put in a '-' sign as the data point is below mean)
\(m > 49\). Out of the given options only Option E has a value greater than \(49\).
Hope this helps
Regards
Harsh
