For the frequency distribution shown, compute : mean , median , mode , mean deviation , sample variance , standard deviation , Second quartile Q, SEVENTH DECILE D 69TH PERENTILEP, 7 69 THE COEFFICIENT OF SKEWNESS USING KARL-PEARSON'S COEFFICIENT OF SKEWNESS SECOND , THIRD , AND THE FOURTH MOMENTS and coefficient of kurtosis TEMPERATURE (°F) CLASS FREQUENCY 96.5 – 96.8 1 96.9 – 97.2 8 97.3 – 97.6 14 97.7 – 98.0 22 98.1 – 98.4 19 98.5 – 98.8 32 98.9 – 99.2 6. 99.3 – 99.6 4
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.
compute :
deviation , sample variance , standard deviation, Second
SECOND , THIRD , AND THE FOURTH MOMENTS and coefficient of kurtosis
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deviation , sample variance , standard deviation ,
Second quartile Q,
SEVENTH DECILE D
69TH PERENTILEP,
7
69
THE COEFFICIENT OF SKEWNESS USING KARL-PEARSON'S COEFFICIENT OF SKEWNESS
SECOND , THIRD , AND THE FOURTH MOMENTS and coefficient of kurtosis
TEMPERATURE (°F)
CLASS FREQUENCY
96.5 – 96.8
1
96.9 – 97.2
8
97.3 – 97.6
14
97.7 – 98.0
22
98.1 – 98.4
19
98.5 – 98.8
32
98.9 – 99.2
6.
99.3 – 99.6
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