Exercise 12.3
What is dispersion? Write names and formulae of 3 measures of dispersion.
The energy consumption for a month is given below for Rabee's home.
📊 Data TableScroll ↔
| Units consumed | 101-200 | 201-300 | 301-400 | 401-500 | 501-600 | 601-700 |
|---|---|---|---|---|---|---|
| No. of months | 2 | 1 | 3 | 1 | 3 | 2 |
Find Range and variance of the energy consumption.
Maria wants to analyze the water supply in her area, given in the data as shown:
📊 Data TableScroll ↔
| Water supply (gallons) | 501-700 | 701-900 | 901-1100 | 1101-1300 |
|---|---|---|---|---|
| No. of hours | 4 | 5 | 2 | 1 |
Find i. mean supply of water in the area. ii. Variance of the supply of water. iii. SD of the supply of water. iv. CV of the supply of water.
An organization wants to analyze salaries, grouped by department as shown below:
📊 Data TableScroll ↔
| Department | Elementary | Secondary | Higher secondary |
|---|---|---|---|
| Salary Range | 40,000 - 60,000 | 60,000 - 80,000 | 80,000 - 100,000 |
| Number of Employees | 10 | 12 | 8 |
Find the range, variance and standard deviation of the salaries across all departments. Also calculate CV of the data.