Based on the box-and-whisker plot below(image attatched), what is the data distribution, and where is the mean located in relation to the median? A Symmetric, and the mean is approximately equal to the median. B Negatively skewed, and the mean is to the left of the median. C Negatively skewed, and the mean is to the right of the median. D Positively skewed, and the mean is to the left of the median.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Based on the box-and-whisker plot below(image attatched), what is the data distribution, and where is the mean located in relation to the
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A
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Symmetric, and the mean is approximately equal to the median.
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B
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Negatively skewed, and the mean is to the left of the median.
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C
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Negatively skewed, and the mean is to the right of the median.
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D
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Positively skewed, and the mean is to the left of the median.
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Symmetric distribution: The first and third quartile of symmetric distribution are equidistant from median.
Positively skewed distribution: if the frequency curve is elongated towards right side then the third quartile goes away from the median as compared to the first quartile. accordingly for positively skew distribution (Q3 - Q1) > (Q2 - Q1).
Negatively skewed distribution: In case of negatively skew distribution left side tail of frequency curve is elongated, which influences the first quartile go to away from the median. this result into (Q3 - Q1) < (Q2 - Q1)
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