2.7 Measures of the Spread of the Data
The following activities and questions relate to material covered in Chapter 2.7 Measures of the Spread of the Data in Introductory Business Statistics (OpenStax).
Data sets for the following questions are available in Excel: 2.7 Data Sets [XLSX].
Questions
Janine lives in Whitehorse, YT and she just graduated from high school. She is considering a career as a baker and would like to know what the Canadian salary outlook is for this career. She collected data from Jobillico (table below) and would like to calculate the following values:
- What is the sample size?
- What is the sample mean?
- What is the sample variance?
- What is the sample standard deviation?
| Province | Average salary for Baker in Canada |
|---|---|
| Alberta | $41,589 |
| British Columbia | $58,497 |
| Manitoba | $44,321 |
| New Brunswich | $65,756 |
| Newfoundland | $67,803 |
| Northwest Territories | $48,484 |
| Nova Scotia | $64,981 |
| Nunavut | $72,280 |
| Ontario | $45,858 |
| Prince Edward Island | $67,754 |
| Quebec | $40,858 |
| Saskatchewan | $39,773 |
| Yukon | $37,440 |
Solutions
- Sample size n = 13
- Sample mean x = $53,491.85
- Sample variance s2 = 165,274,453.5
- Sample standard deviation s = $12,855.91
- Data source: Jobillico. (n.d). Average salary for baker in Canada. https://www.jobillico.com/salary/job/Baker ↵
