Q) Consider the following data: 33 2 43 47 34 38 38 20 33 9 36 2 14 3 5 42 35 16 48 2 22 20 39 40 10 25 23 33 36 38 14 34 33 9 6 25 48 18 30 12 Make frequency distribution using 5 classes and find the following: Arithmetic Mean Median Mode All quartiles 3rd Deciles 46th Percentile Coefficient of Skewness Semi Inter Quartile Range (SIQR)
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.
- Q) Consider the following data:
33 2 43 47 34 38 38 20 33 9 36 2 14 3 5 42 35 16 48 2 22 20 39 40 10 25 23 33 36 38 14 34 33 9 6 25 48 18 30 12
Make frequency distribution using 5 classes and find the following:
- Arithmetic Mean
- Median
Mode - All
quartiles - 3rd Deciles
- 46th Percentile
- Coefficient of Skewness
- Semi Inter
Quartile Range (SIQR)
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