# Etc 5900 Assignment: Descriptive Statistics

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ETC 5900 Assignment: Descriptive Statistics

(1) Qualitative Variable: Home Owner

Qualitative variable also knows as Categorical variable generates categorical feedback. Categorical Variables can be verified on two scales i.e. Nominal or Ordinal. The Nominal Scale identifies data simply with labels and follow no order e.g. Male/Female, whereas the Ordinal scale are also labels but portray a certain order e.g. Small/Medium/Large/Extra Large.

While conducting a feasibility study from the data obtained from 856 potential customers to analyze the efficiency of launching a brand of frozen food products the variable ‘Home Owner’ is a Qualitative variable falling on the Nominal Scale as it just represents labels with no particular order being Yes/No.

(2) Quantitative Variable: Number of Customers

Quantitative variable also knows as Numerical variables portrays numerical responses e.g. Height(175.22cm,181.10cm,160.88cm) or Number of children (1,2,3,4).

Quantitative variables have two types: discrete and continuous. Numerical responses are generated from Discrete data that are generated from a counting process whereas Continuous variables generate data derived from a measuring process.

While conducting a feasibility study from the data obtained from 856 potential customers to analyze the efficiency of launching a brand of frozen food products the variable ‘No of Customers’ falls under the category of Quantitative (Numerical) data which is discrete as it is derived from a process of counting as compared to measuring.

1.  The report stating that the average income of customers is highest for the oldest age groups for both male and female customers is inaccurate considering the analysis conducted. Figure B.1 shows the average annual income of customers grouped in various age groups. While the oldest aged female customers do have the highest average annual income, the oldest aged male customers have the lowest income suggesting inaccuracy in the report. More proof can be obtained from the total column which suggest the highest average annual income for both male and females is in the youngest age group. Figure B.1, the tables data is portrayed in the histogram in Figure B.2.
 Average of Annual Income (\$) Age Range Female \$ Male \$ Grand Total \$ 20-29 50,561 45,431 47,782 30-39 43,192 47,620 45,625 40-49 46,233 45,112 45,637 50-59 44,941 49,193 46,998 60-70 54,340 42,322 46,614 Grand Total 45,887 46,597 46,267

Figure B.1

[pic 1]

Figure B.2

1. As part of the feasibility study to launch a brand of frozen food products, an analysis of a sample of 856 potential customers portrayed in Figure C.1, shows that out of 458 potential Male customers, 61% have tried the product and out of the 398 potential female customers 54% have tried the product. The data suggest more Male potential customers have tried the frozen food products.

A combined 58% of both male and female customers have tried the product as portrayed in Figure C.2

 Count of Have Tried Have Tried Have Tried Gender No Yes Grand Total Female 182 216 398 Male 179 279 458 Grand Total 361 495 856

Figure C.1

[pic 2]

Figure C.2

1.  Out of the 856 potential customers, 83% do not own homes as portrayed in Figure D.1. Therefore, the statement “the majority of customers do not own their home” is accurate.
 Row Labels Count of Homeowners No 83% Yes 17% Grand Total 100.00%

[pic 3]

Figure D.1

1. Summary statistics of annual incomes for each of the two genders:
 Female: Annual Income (\$) Male: Annual Income (\$) Mean \$ 45,887.19 Mean \$ 46,596.94 Median \$ 40,750.00 Median \$ 41,150.00 Standard Deviation \$ 28,333.51 Standard Deviation \$ 28,914.45 First Quartile \$ 24,900.00 First Quartile \$ 25,775.00 Third Quartile \$ 57,875.00 Third Quartile \$ 60,875.00 Interquartile \$ 32,975.00 Interquartile \$ 35,100.00 Range \$ 150,200.00 Range \$ 187,400.00 Minimum \$ 3,600.00 Minimum \$ 4,100.00 Maximum \$ 153,800.00 Maximum \$ 191,500.00 Coefficient of Variation 61.75% Coefficient of Variation 62.05%

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