The students in the HS3333 course recently took an exam and these were the scores: 76, 88, 67, 80, 44, 65, 50, 98, 55, 45, 23, 44, 65, 78, 66, 56, 89, 76, 87, 29 * Use the equations provided in the PPT and NOT from other sources. What is the mean? What is the median? What is the mode? What is the range? What score is the 75% percentile? (Show work.) What score is the 90% percentile? (Show work.) A score of 55 is what percentile? (Show work.) A score of 29 is what percentile? (Show work.) What is the trimean? (Show work.) What is the trimmed mean? (Show work.) What is the variance using this equation: (Show work.) Is the above a calculation for population or sample What is the standard deviation? (Show work.) Calculate the skew using this equation:Show work.)
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.
- The students in the HS3333 course recently took an exam and these were the scores:
76, 88, 67, 80, 44, 65, 50, 98, 55, 45, 23, 44, 65, 78, 66, 56, 89, 76, 87, 29
* Use the equations provided in the PPT and NOT from other sources.
- What is the mean?
- What is the median?
- What is the
mode ? - What is the
range ? - What score is the 75% percentile? (Show work.)
- What score is the 90% percentile? (Show work.)
- A score of 55 is what percentile? (Show work.)
- A score of 29 is what percentile? (Show work.)
- What is the trimean? (Show work.)
- What is the trimmed mean? (Show work.)
- What is the variance using this equation: (Show work.)
- Is the above a calculation for population or sample
- What is the standard deviation? (Show work.)
- Calculate the skew using this equation:Show work.)
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