correctly calculate relevant statistics, analyse the data and provide/ demonstrate:

Skillfully calculate essential statistics, analyze the data, and provide/demonstrate:

  • Clear interpretations of all statistical analyses (commenting on implications of values without speculation as needed).
  • Graphs and tables with informative titles, proper labeling, and stated units.
  • Accurate calculations, with equations related to the data.
  • Comments reflecting the meaning of the data or analysis.
  • Appropriate use of Excel functions, supported by output evidence.

For Task 1: Ungrouped Descriptive Statistics

Utilize the provided table to fill in the necessary data points:

  • Use the count value to compute the mean.
  • Calculate the range of values.
  • Determine the lower quartile.
  • Compute the sample`s standard deviation.
  • Calculate the coefficient of variation as a percentage, rounded to the nearest whole number.

Interpret the standard deviation and interquartile range within the scenario`s context.

For Task 2: Grouped Descriptive Statistics

Refer to Table 2 from the Excel file "MN4063QANOVS22CWK1Data" under the Task 2 worksheet:

  • Complete Table 2a to show percentage frequencies, cumulative frequencies, and cumulative percentage frequencies (rounded to the nearest whole number).
  • Complete Table 2b to estimate the mean and standard deviation (rounded to the nearest whole number).

Estimate the median expenditure using interpolation.

For Task 3: Data Types

Discuss the differences between cross-sectional data and time series data, using examples relevant to the retailer`s information needs. Justify whether cross-sectional data, time series data, or both should be collected for insights into customer demographic profiles and lifestyle preferences.

For Task 4: Sampling

Explain how the retailer can apply stratified sampling to select 200 relevant invoices for Task 3`s decision-making.

For Task 5: Networking

Construct a network diagram based on the precedence table:

  • Identify forward and backward passes.
  • Determine the critical path and project duration.
  • Differentiate between critical and non-critical activities.

PART 2

Task 6: Correlation and Regression

Construct a correlation matrix in Excel to display correlation coefficients between Sales Revenue, Total Costs, Average Order Value, and Gross Profit. Identify the best predictor of Sales Revenue based on the correlation matrix and justify your choice.

Create a scatter graph plotting Sales Revenue against the best predictor, including trend line, regression equation, and coefficient of determination. Interpret correlation coefficient, coefficient of determination, regression equation, intercept, and gradient values within context."