A large company is checking the salaries of its employees regularly to get an idea of their distribution. The data below are the salaries (in $000 per year before tax) of 30 employees. 39 40 44 47 32 37 25 71 56 33 64 63 42 43 34 25 28 35 24 45 35 22 53 55 36 46 46 27 27 38 i. Carefully construct, draw and label a histogram of these data on the graph paper provided. ii. Find the mean, the median, the interquartile range and the modal group on the histogram. i. Comment on the data, given the shape of the histogram and the measures which you have calculated.
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.
A large company is checking the salaries of its employees regularly to get an idea of their distribution. The data below are the salaries (in $000 per year before tax) of 30 employees.
39 40 44 47 32
37 25 71 56 33
64 63 42 43 34
25 28 35 24 45
35 22 53 55 36
46 46 27 27 38
i. Carefully construct, draw and label a histogram of these data on the graph
paper provided.
ii. Find the mean, the median, the
i. Comment on the data, given the shape of the histogram and the measures which you have calculated.
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