Given below is the daily wage distribution of some 100 workers. WAGESIS) FREQUENCY 5---- 6.99 - 8.99 12 9 ----- 10.99 15 11-----12.99 20 13--14.99 18 15-16.99 10 17---18.99 19---20.99 6 21---2.99 a) Determine the mean, median, and standard deviation, interpret your results. b) Determine the lower and upper quartiles, and the quartile deviation.
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.
![Given below is the daily wage distribution of same 100 workers.
WAGESIS)
FREQUENCY
5 ------ 6.99
8.
7- 8.99
12
9 - 10.99
15
11----12.99
20
13---14.99
18
15- 16.99
10
17-----18.99
8.
19-20.99
6.
21--22.99
a) Determine the mean, median, and standard deviation, interpret your results.
b) Determine the lower and upper quartiles, and the quartile deviation.
c) If wages are increased by 12% , how consistency would be effected.
d) If 15% of the workers are exempted from payment of tax, what is the limit of wage to be taxed.
e) If 12% of workers drawing top wages are to be paid supervisory allowance, what is the limit of
wage at which the allowance will be admissible.
) Comment about skewness and kurtosis of the data using suitable measures based on moments.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7ad1e35-655b-44ec-ba4f-5dfddc440dab%2Fcaf3f2a0-c804-4887-8e8c-9fef7848024f%2F2bjrsh_processed.png&w=3840&q=75)
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