Describe and compare the measurement of the central tendency and the dispersion of the electric usage before and after implementing the new electric meter based on the histogram and box plots given.
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.
Describe and compare the measurement of the
dispersion of the electric usage before and after implementing the new
electric meter based on the histogram and box plots given.
![Electric Usage for New and Old meter
160 200 240, 280 320 360 400
Old
New
140어
120어
100어
80
60-
40-
20
160 200 240 280 320 360 400
Electric Usage
Panel variable: Meter
Electric Usange for old and new meter
450
400어
350어
300어
250어
200어
150
New
Old
Meter
Frequency-
Bectric Usage](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F551bb36d-1e89-4585-acf6-3d5291dc0481%2Fb1ae253f-03ec-4116-b3f4-58b074668949%2Fk7vem6v_processed.jpeg&w=3840&q=75)
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