Following data reveals the usage of units of electricity by different consumers of a certain area: Units consumed 1 -50 51 - 100 101 - 150 151 - 200 201 - 250 251- 300 Number of Users (Frequency) 24 68 104 126 84 44 Find the following for given data Arithmetic Mean. Median All Quartiles 3rd and 9th Deciles 18th and 76th Percentiles.
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.
Following data reveals the usage of units of electricity by different consumers of a certain area:
|
Units consumed |
1 -50 |
51 - 100 |
101 - 150 |
151 - 200 |
201 - 250 |
251- 300 |
|
Number of Users (Frequency) |
24 |
68 |
104 |
126 |
84 |
44 |
Find the following for given data
- Arithmetic Mean.
Median - All Quartiles
- 3rd and 9th Deciles
- 18th and 76th Percentiles.
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