Q5) Consider the data: 480 855 1010 890 735 510 765 985 635 410 485 a) Calculate the mean, median, first quartile, third quartile. b) Calculate the range, interquartile range, variance, standard deviation and coefficient of variation. c) Construct a boxplot and describe its shape
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.
Q5) Consider the data:
480
855
1010
890
735
510
765
985
635
410
485
a) Calculate the mean,
b) Calculate the
c) Construct a boxplot and describe its shape
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