b) Find Q1;Q2;Q3 and IQR of the above data set.
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.
Can I have a detailed step-by-step explanation for th part (b) of the following question?
Thank you very much!
Question :
The marks obtained by 120 students in a mathematics test is given below.
| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
| Frequency | 5 | 9 | 16 | 22 | 26 | 18 | 11 | 6 | 4 | 3 |
a) Find mean,
b) Find Q1;Q2;Q3 and IQR of the above data set.
c) Draw an ogive for the given distribution by using a suitable scale then justify your answers by using the orgive.
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