## Module Code: MN4063QA Module Subject: Understanding and Managing Data PART 1 Task 1: Ungrouped Descriptive Statistics [10 marks] To gain so

### Module Subject: Understanding and Managing Data

PART 1

Task 1: Ungrouped Descriptive Statistics [10 marks]

To gain some insights into the typical price consumers are willing to pay for a stand mixer, a retailer of kitchen appliances randomly selected 130 relevant invoices for transactions completed in October 2020. Descriptive statistics, computed to summarise the data, are presented in Table 1 below. NB: Some values are missing. This table has been made available in the Excel file named “MN4063QA July21CWK 1 Data” under the tab labelled

Table 1 – Ungrouped Descriptive Statistics

With reference to Table 1 above and using a calculator, find the Sum and Variance.Insert your values on the table and copy into your Word document.Interpret the mean and standard deviation in the context of the scenario provided.NB: You should not describe calculation methods.

Task 2: Grouped Descriptive Statistics [14 marks]

It was suggested to the retailer that the 130 transaction values could also be summarised in a grouped table (see Table 2 below). Three table templates based on Table 2 have been made available in the Excel file named “MN4063QA July21 CWK 1 Data” under the tab labelled Task 2.

Table 2 – Grouped Descriptive Statistics

Expenditure (£)FrequencyUnder 10014100 and under 20035200 and under 30065300 and over16Total:130

a) Using the three table templates provided in the Excel data file as a starting point, construct three tables in Excel.

The first table should show the frequencies and percentage frequencies.The second table should show the ‘less than’ cumulative frequencies and cumulative percentage frequencies.Complete the third table to estimate the mean and standard deviation. You need to copy the Excel output (3 tables) into your Word document.

b) Compare the grouped data mean and standard deviation values to the ungrouped data mean and standard deviation under task 1.

Why are the values different and which findings are more accurate; the ungrouped or grouped statistics? Justify your answer.

c) With reference to fig. 1 below (ogive), comment on the estimated minimum amount a consumer needs to spend on a stand mixer to belong to the top 25% in terms of expenditure.

Fig. 1 – Ogive Showing Cumulative Percentage Frequencies

Task 3: Data Types [8 marks]

The kitchen appliances retailer seeks to survey its customers to gain insights into key consumer characteristics, including demographic profiles and lifestyle preferences. It is believed this will help the company better understand its target consumers and strengthen its position in the market. However, before outsourcing the data collection fieldwork, the retailer seeks clarification on data types, as outlined in the requirements below.

With reference to examples relevant to the retailer’s information needs, discuss the differences between cross-sectional data and time series data and clearly state whether cross-sectional data, time series data or both types of data should be collected to gain insights into the demographic profile and lifestyle characteristics of its customers.

Use and credit one source. The citation and reference must be credited using the Harvardmethod. The reference is excluded from the 100-word limit.

The retailer has seen a shift in the way in which consumers purchase items, such as kitchen appliances. Online retailing now accounts for over 80% of their sales and, to reflect this change, the retailer has decided to convert some of its retail space into warehouse space. This conversion project consists of 10 activities. For example, Activity C takes 3 weeks to complete and can only be started after Activity A has been completed. Information on the 10 activities is outlined in Table 3 below.

Table 3 – Precedence Table ActivityPreceding ActivityDuration (Weeks)A………6B………4CA4DB2EC6FC,D5GD3H……..8IE,F,G5JH,I2

With reference to Table 3, construct a network diagram by going through the forward and backward passes. You may draw your network diagram in Excel or Word. The network diagram needs to be copied into your Word file.Identify the critical path and duration of the project.Comment on the distinction between critical and non-critical activities.

To operate more effectively, the retailer wants to better understand the relationship between sales revenue, total costs, average order value and gross profit. To this end, data for the period 2014, quarter 1 to 2020, quarter 3 were made available. To complete task 5, refer to the data provided under the tab named “Task 5” in the “MN4063QA July21 CWK 1 Data” Excel file.

Construct a correlation matrix in Excel to show the correlation coefficients between quarterly Sales Revenue (£’000) and total costs (£’000), average order value (£) and gross profit (£’000). The correlation matrix needs to be copied into your Word file.With reference to the correlation matrix, identify the ‘best’ predictor of quarterly Sales Revenue (£’000) and briefly explain the reason for your choice.Create a scatter graph, plotting quarterly Sales Revenue (£’000) against the independent variable selected under point 2 above. The trend, regression equation and coefficient of determination should be shown on the graph. Copy the correctly labelled graph, with the correct units of measurement, into your Word file.Interpret the relevant correlation coefficient and the coefficient of determination in context.State the regression equation in context and interpret the values of the intercept and gradient in the context of the scenario.

Task 6: Expected Values [8 marks]

The retailer has the option to invest in either venture A or venture B. Both ventures require aninvestment of £39,000.

The net expected values and standard deviations for the two ventures are stated in Table 4 below.Table 4 –

Outcomes

Venture ANet EV = £47.0Standard Deviation = £30.08   Venture BNet EV = £41.2Standard Deviation = £13.32

Calculate the coefficients of variation for venture A and venture B.Assuming the retailer is risk averse, which project should be chosen?

This task requires reflection to provide insights into the process and quality of personal learning. Your reflection should focus on your actions, motivations and emotions and should analyse what changes will be made to practice in light of experiences, feedback and reflection. A good reflection will help you understand what, why and how you learn.

NB: You should not comment on the theories of reflection. You should also not evaluate teaching orthe module for this exercise.