Statistics Concepts and Descriptive Measures

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Statistics Concepts and Descriptive Measures

Renita Fortson

QNT 561

June 13, 2017

Professor Russell Heigl

Descriptive Measures of Consumer Food Data

Data Type

The data denoted in the first three columns are quantitative data in nature. Numerical values grounded on which customers can be analyzed and assessed quantitatively has been assigned for each of these variables. The data represented in the fourth and fifth column namely- region and location are qualitative data. The location and state of the customers can be known from this informational data. No quantitative analysis can be made with this data.

Level of Measurement

The data represented in the first three columns are ratio level data. Besides on these data categorization and ordering of the customers can be made. Beside these, each of these data has equal interval and zero values of these are meaningful. The data represented in the last two columns namely customer region, and customer location are nominal level data. With these data, customers can be categorized but cannot be ordered. Nominal level data contains data based on which only categorization can be made only.

Measures of Central Location

Means (Average) of the Measures

Mean spending on food

$8966.1

Mean income of household

$55552.4

Mean debt of households

$15604.2

These means value represent the expected value or typical value (average) of spending money on food, income of household, and debt of households of the consumers.

Median of the Measures

Median spending money on food

$8932.0

Median income of household

$54957.5

Median debt of households

$16100.2

These median value represent medium values when the spending on food, income of household, and debt of households are arranged from smallest to largest.

Measures of Dispersion

Range of the Measures

Range of spending money on food

$15153.0

Range of income of household

$74485.6

Range of debt of households

$36373.9

These represents the maximum gap or deviation in between most affluent and poor customers (maximum value and minimum value) in terms of spending on food, income of household, and debt of households.

Standard Deviation of the Measures

Standard deviation of spending money on food

$15153.0

Standard deviation of income of household

$74485.6

Standard deviation of debt of households

$36373.9

These standard deviation value of spending money on food, income of household, and debt of households symbolize that the actual values of the spending on food, income of household, and debt of households can deviate from the mean value by plus minus (+/-) 3117.2, 14624.7, and 8562.1 respectively.

References

Purplemath. (2017). Retrieved June 9, 2017, from Mean, Median, Mode, and Range: http://www.purplemath.com/modules/meanmode.htm Triola, M. F. (2014). Essentials of Statistics. New York: Addison Wesley.

Etchegaray, J. M., & Fischer, W. G. (2009). Understanding evidence-based research methods: Descriptive statistics. HERD: Health Environments Research & Design Journal

Milorad, M., & Ivana, P. (2008). Application of descriptive statistics in analysis of experimental data. Veterinarski Glasnik