Final answer:
To calculate mean and standard deviation using PivotTables, organize your sales data, create a PivotTable, and configure it to show these statistics. Additionally, you can construct a histogram, identify quartiles, and construct a box plot using spreadsheet software. To find values in relation to the mean and standard deviation, apply the appropriate formulas.
Step-by-step explanation:
To find the mean and standard deviation of sales by region using PivotTables, you should:
- Organize your data in a spreadsheet with columns for sales and region.
- Create a PivotTable and drag the 'region' field to the rows area and the 'sales' field to the values area.
- Configure the PivotTable to show the average mean of sales by clicking on the 'Value Field Settings' and selecting 'Average'.
- Find the standard deviation by again clicking on the 'Value Field Settings' and selecting 'StdDev' for a sample or 'StdDevp' for a population.
Additional Calculations
For the complete analysis:
- To construct a histogram of the data, use software that allows you to input the sales data and group them into bins to visualize the distribution.
- The first quartile, median, and third quartile can be found using the PivotTable or statistical functions in your spreadsheet application.
- To construct a box plot, you can use graphical tools available in most spreadsheet applications or statistical software.
To answer specific questions like the percentage of students owning at least five pairs or finding particular percentiles, employ statistical functions or rely on your software's capability to calculate these values directly from the dataset.
To determine a value that is a certain number of standard deviations from the mean, use the formula value = mean + of standard deviations standard deviation.