Frequency distribution table,
Stem and leaf plot
Histogram
Sample mean and median
Sample standard deviation.
You must calculate results by hand (though you may use any technology of your choice to verify your answers).
The data table lists the highest paid woman of this sample as Sharilyn Gasaway of the company Alltel.
The data, in this case compensation in millions of dollars, is quantitative discreet.
Frequency distribution table (cutpoint grouping) Dollar amounts in millions | Tally | Frequency | Relative Frequency | 5-under10 | I I I I I | 5 | 0.2 | 10-under15 | I I I I I I I I I I I I I I I | 15 | 0.6 | 15-under 20 | I I I | 3 | 0.12 | 20-under 25 | | 0 | 0 | 25-under 30 | | 0 | 0 | 30-under 35 | I | 1 | 0.04 | 35-under 40 | I | 1 | 0.04 |
Stem and Leaf Plot 08 | 9 9 | 09 | 1 4 6 | 10 | 0 1 1 5 | 11 | 0 1 5 6 8 9 | 12 | 4 8 | 14 | 7 8 9 | 15 | 7 | 16 | 3 4 | 34 | 1 | 38 | 6 |
Histogram
Sample Mean
x=38.6+34.1+16.4+16.3+15.7+14.9+14.8+14.7+12.8+12.4+11.9+11.8+11.6+11.5+11.1+11.0+10.5+10.1+10.1+10.0+9.6+9.4+9.1+8.9+8.9= 346.2 Million Dollars x=xn=346.225=13.848 million dollars
Median
8.9 8.9 9.1 9.4 9.6 10.0 10.1 10.1 10.5 11.0 11.1 11.5 11.6 11.8 11.9 12.4 12.8 14.7 14.8 14.9 15.7 16.3 16.4 34.1 38.6
Median = 11.6 million dollars
Sample standard deviation Dollars in Millions | x-x | x-x2 | 8.9 | -4.9 | 24.01 | 8.9 | -4.9 | 24.01 | 9.1 | -4.7 | 22.09 | 9.4 | -4.4 | 19.36 | 9.6 | -4.2 | 17.64 | 10.0 | -3.8 | 14.44 | 10.1 | -3.7 | 13.69 | 10.1 | -3.7 | 13.69 | 10.5 | -3.3 | 10.89 | 11.0 | -2.8 | 7.84 | 11.1 | -2.7 | 7.29 | 11.5 | -2.3 | 5.29 | 11.6 | -2.2 | 4.84 | 11.8 | -2 | 4 | 11.9 | -1.9 | 3.61 | 12.4 | -1.4 | 1.96 |