Post by Admin on Feb 15, 2016 1:07:10 GMT
The statistical distribution of two studies is shown below. The mean is equal to the median and the mode in the first curve (labeled A).
Which of the following correctly describes the mean, median, and mode in the second curve (labeled B)?
391028 : Neel
A.
Mean < median < mode
B.
Mean < mode < median
C.
Median < mean < mode
D.
Median < mode < mean
E.
Mode < mean < median
F.
Mode < median < mean
We value your feedback!
The first curve, with mean = median = mode, represents a normal Gaussian distribution. The second curve represents a negative skew. The mean is equal to the center of the graph. The mode is equal to the most common result. This is represented at the top of the curve. The median is the middle value if the value were ordered sequentially. It turns out that during either a positive skew or a negative skew, the median is in between the mean and the mode. Therefore, mean < median < mode.
B is not correct. 7% chose this.
In Gaussian distributions, the median is always between the mode and the mean.
C is not correct. 12% chose this.
In Gaussian distributions, the median is always between the mode and the mean.
D is not correct. 7% chose this.
In Gaussian distributions, the median is always between the mode and the mean.
E is not correct. 5% chose this.
In Gaussian distributions, the median is always between the mode and the mean.
F is not correct. 13% chose this.
This would be the case in a positively skewed data distribution, rather than a negative skew.
Bottom Line:
The correct answer is A. In a negatively skewed distribution, the mode is greater than the mean; in a positively skewed distribution, the mode is less than the mean. In either case, the median is in between the mode and the mean.
Which of the following correctly describes the mean, median, and mode in the second curve (labeled B)?
391028 : Neel
A.
Mean < median < mode
B.
Mean < mode < median
C.
Median < mean < mode
D.
Median < mode < mean
E.
Mode < mean < median
F.
Mode < median < mean
We value your feedback!
The first curve, with mean = median = mode, represents a normal Gaussian distribution. The second curve represents a negative skew. The mean is equal to the center of the graph. The mode is equal to the most common result. This is represented at the top of the curve. The median is the middle value if the value were ordered sequentially. It turns out that during either a positive skew or a negative skew, the median is in between the mean and the mode. Therefore, mean < median < mode.
B is not correct. 7% chose this.
In Gaussian distributions, the median is always between the mode and the mean.
C is not correct. 12% chose this.
In Gaussian distributions, the median is always between the mode and the mean.
D is not correct. 7% chose this.
In Gaussian distributions, the median is always between the mode and the mean.
E is not correct. 5% chose this.
In Gaussian distributions, the median is always between the mode and the mean.
F is not correct. 13% chose this.
This would be the case in a positively skewed data distribution, rather than a negative skew.
Bottom Line:
The correct answer is A. In a negatively skewed distribution, the mode is greater than the mean; in a positively skewed distribution, the mode is less than the mean. In either case, the median is in between the mode and the mean.