The data shown are the total compensation (in millions of cedis) for the 70 workers in state insurance company (SIC) 20.1 25.9 26.8 35.2 35.4 21.4 16.9 20.4 23.2 16.8 17.9 17.3 23.7 37.6 19.3 25.0 19.1 41.7 16.9 22.9 18.0 24.3 16.5 29.7 20.1 17.2 35.2 24.0 18.2 18.2 36.8 47.7 25.5 21.4 16.9 20.7 23.2 16.8 24.1 25.4 31.7 38.5 17.4 38.6 25.2 30.1 25.9 26.8 35.2 35.4 31.7 17.0 18.0 41.6 19.8 29.1 24.0 31.4 19.1 25.5 36.8 47.7 25.1 21.4 16.9 30.0 17.2 45.2 24.0 17.2 (i) Estimate the number of classes and class width using the Surges’ Rule and corrected to one decimal place (ii) Construct a grouped frequency distribution for the given data. (iii) Compute the mean, median, mode and the standard deviation.
The data shown are the total compensation (in millions of cedis) for the 70 workers in state
insurance company (SIC)
20.1 25.9 26.8 35.2 35.4 21.4 16.9 20.4 23.2 16.8
17.9 17.3 23.7 37.6 19.3 25.0 19.1 41.7 16.9 22.9
18.0 24.3 16.5 29.7 20.1 17.2 35.2 24.0 18.2 18.2
36.8 47.7 25.5 21.4 16.9 20.7 23.2 16.8 24.1 25.4
31.7 38.5 17.4 38.6 25.2 30.1 25.9 26.8 35.2 35.4
31.7 17.0 18.0 41.6 19.8 29.1 24.0 31.4 19.1 25.5
36.8 47.7 25.1 21.4 16.9 30.0 17.2 45.2 24.0 17.2
(i) Estimate the number of classes and class width using the Surges’ Rule and corrected to one
decimal place
(ii) Construct a grouped frequency distribution for the given data.
(iii) Compute the mean,
(a) Draw a histogram for the distribution and use it to find the mode.
(b) Plot the cumulative frequency curve
(iv) Compute the coefficients of variation, skewness and kurtosis
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 15 images
