Rural3302123159

Suburban2324175100

Suburban2505144742

Rural331241864

Urban155294070

Rural3371202731

Urban140273348

Suburban2664104764

Urban1513164110

Urban1253114208

Urban1484164219

Rural3271192477

Rural3332122514

Urban1653124214

Suburban2634134965

Urban1426154412

Urban1212182448

Rural344172995

Urban137554171

Suburban2626135678

Urban1213163623

Suburban2557155301

Rural3422193020

Urban1417184828

Suburban2546145573

Rural3301142583

Rural348283866

Urban134553586

Suburban2674135037

Rural3502113605

Urban167515345

Urban1556165370

Urban1522113890

Urban162324705

Urban164264157

Suburban2223183579

Urban129443890

Suburban2392182972

Rural3351113121

Urban1394154183

Suburban254393730

Suburban2236184127

Rural327212921

Urban1267174603

Suburban2612144273

Rural3302143067

Rural3224163074

Suburban2465134820

Suburban2664205149

The following report presents the detailed statistical analysis of the data collected from a sample of credit customers in the department chain store AJ DAVIS.

The 1st individual variable considered is Location. It is a categorical variable. The three subcategories are Urban, Suburban and Rural. Since this is a categorical variable, the measures of central tendency and descriptive statistics has not been calculated for this variable. The frequency distribution and pie chart are given as follows: Frequency Distribution:

LocationFrequency

Urban21

Suburban15

Rural14

From the frequency distribution and pie chart, it is evident that the maximum number of customers belongs to the rural category (42%), followed by those in the suburban category (30%). Only 28% of the customers belong to the urban category.

The 2nd individual variable considered is Size. It is a quantitative variable. The measures of central tendency, variation and other descriptive statistics have been calculated for this variable and are given as follows: Descriptive Statistics:

Size

Mean3.42

Standard Error0.24593014

Median3

Mode2

Standard Deviation1.73898868

Sample Variance3.02408163

Kurtosis-0.7228086

Skewness0.52789598

Range6

Minimum1

Maximum7

Sum171

Count50

Frequency Distribution:

SizeFrequency

15

215

38

49

55

65

73

The mean household size of the customers is given as 3.42. The median of the data is 3 and the mode is 2. The standard deviation is given approximately as 1.74. Maximum number of customers has a household size of 2 as is evident from the frequency distribution and the bar graph.

The 3rd individual variable considered is Credit Balance. It is a quantitative variable. The measures of central tendency, variation and other descriptive statistics have been calculated for this variable and are given as follows:

Descriptive Statistics:

Credit Balance($)

Mean3964.06

Standard Error132.0159991

Median4090

Mode3890

Standard Deviation933.4940816

Sample Variance871411.2004

Kurtosis-0.741830067

Skewness-0.129506489

Range3814

Minimum1864

Maximum5678

Sum198203

Count50

Relative Frequency Distribution:

Credit Balance ($)FrequencyRelative Frequency

1500 - 200010.02

2000 - 250020.04

2500 - 300060.12

3000 - 350060.12

3500 - 400080.16

4000 - 4500120.24

4500 - 500070.14

5000 - 550060.12

5500 - 600020.04

The mean credit balance of the customers is given as $3964.06. The standard deviation is given approximately as 933.49. The credit balance of the customers is more or less normally distributed with the peak of the bell shaped distribution lying in the range $4000 - $4500. Thus, maximum number of customers has a credit balance within this range....