Q2 A random sample of marks scored by students during Mid Semester Exam are as follows. 12, 15, 18, 11, 16, 14, 9, 17, 18, 19, 11, 12, 15, 18, 11, 16, 14, 9, 17, 18, 19, 11, 12, 15, 18, 11, 16, 14, 9. a) Construct a table that gives the frequency distribution of this data. b) Construct a table that gives the relative frequency distribution of this data. c) Construct a frequency histogram of this data. d) Construct a relative frequency histogram of this data. e) Find the sample mean for this data set. ) Find the median of this data set. g) Find the mode of this data set. h) Find the sample standard deviation of this data set. i) Construct an ogive curve of this data.
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.
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