42 66 67 71 78 62 61 76 71 67 61 64 61 54 83 63 68 69 81 53 Based on the information given you are required to Compute the mean, median and mode. Compute the first and third quartiles. Compute and interpret the 90th percentile
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.
a. The following data shows the results for 20 students in one of the post graduate unit.
42 66 67 71 78 62 61 76 71 67 61 64 61 54 83 63 68 69 81 53
Based on the information given you are required to
-
Compute the
mean ,median andmode . -
Compute the first and third
quartiles. -
Compute and interpret the 90th percentile
-
b. In your own word, explain what is
inferential statistics with relevant examples.
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