The measurement of heights of 400 individuals is given in the following table; calculate arithmetic, geometric, harmonic means, median, mode, S, M.D, S2 , range, CoV, quartile deviation, interquartile range and its lower, upper limits. Height (c.m) 140-154 155-169 170-184 185-199 200-214 No. of Individuals 35 76 150 85 54 Q-14: The following table shows the monthly salaries of employees in a company, calculate arithmetic, geometric, harmonic means, median, mode, S, M.D, S2 , range and CoV. Salary(00) 700-799 800-899 900-999 1000-1099 1100-1199 1200-1299 1300-1399 1400-1499 Frequency 300 160 120 110 100 50 30 30
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-13: The measurement of heights of 400 individuals is given in the following table; calculate arithmetic,
geometric, harmonic means,
,
and its lower, upper limits.
Height (c.m)
140-154
155-169
170-184
185-199
200-214
No. of Individuals
35
76
150
85
54
Q-14: The following table shows the monthly salaries of employees in a company, calculate arithmetic,
geometric, harmonic means, median, mode, S, M.D, S2
, range and CoV.
Salary(00) 700-799 800-899 900-999 1000-1099 1100-1199 1200-1299 1300-1399 1400-1499
Frequency
300
160
120
110
100
50
30
30
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