Q) Consider the following data: 62 61 83 92 67 89 83 50 80 69 95 50 73 71 73 88 66 89 73 51 58 86 73 57 67 80 59 86 62 95 63 88 59 64 54 78 84 77 71 82 82 83 81 97 60 85 61 55 80 72 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:
62 61 83 92 67 89 83 50 80 69 95 50 73 71 73 88 66 89 73 51 58 86 73 57 67 80 59 86 62 95 63 88 59 64 54 78 84 77 71 82 82 83 81 97 60 85 61 55 80 72
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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