a. Using the inclusive method of classification, construct a suitable grouped Frequency distribution table b. Draw and interpret the boxplot for the data c. Comment on the shape of the data based on the coefficient measures Estimated using moments
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.
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2. The data below gives the weight (in kgs) of selected students in a class
52 74 50 60 82 105 53 61 75 83 63 53
102 76 84 51 67 65 78 77 56 956869
94 80 79 79 54 735981 10066 59 77
90 84 76 52 64 6970 80 72 50 79 52
103 96 51 86 78 94 71 55 6391
a. Using the inclusive method of classification, construct a suitable grouped
Frequency distribution table
b. Draw and interpret the boxplot for the data
c. Comment on the shape of the data based on the coefficient measures
Estimated using moments
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