Measures of Central Tendency and Dispersion Research Paper

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Updated: Dec 13th, 2023

Aim of the paper

The paper seeks to carry out a descriptive analysis of a data set. Specifically, the data will focus on estimating the measures of central tendency using SPSS.

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Analysis of the result generated from SPSS

The results generated from SPSS shows that the mean age in the data set is 54.633 years while the mean marital status is 1.833. Further, the age that falls in the middle is 55 years while the median marital status is 2 (married). Also, it can be pointed out that the most occurring age in the data set is 55 years while the model marital status is 2 (married).

The modal marital status can be explained by the fact that a large percentage of the data comprises of older people. The results also show that the age deviates by 10.33 from the average age, while marital status deviates by 0.74664 from the mean. The maximum age in the data set is 78 years while the minimum age is 27 years. This generates a range of 51 years between the two extreme values.

On the other hand, the maximum measure of marital status in the data set is 3 while the minimum measure of marital status is 1. This generates a range of 2 between the two extreme values (Baltagi, 2011; Blank, 2011). A summary of the descriptive statistics is presented in exhibit 2.

Graphical representation of data

The data set can also be analyzed using graphs. In this case, a pie chart will be used to display the frequency of occurrence of the various values in the data set. The pie charts are presented in exhibit 3.

Exhibits

Exhibit 1: Data

The data set contains two variables. The first variable is age. Age is measured as a continuous variable. The second variable is marital status. The marital status is measured on a nominal scale that lies between 1 and 3, where 1 represents single, 2 represents married while 3 represents divorced people in the data set. The data were collected from a sample of thirty people (Blank, 2011). The table presented below shows the data used in the analysis.

AgeMarital
1542
2653
3411
4522
5472
6511
7432
8663
9682
10421
11542
12582
13552
14593
15561
16511
17632
18552
19552
20581
21433
22271
23621
24691
25653
26592
27453
28501
29781
30482

Exhibit 2: Descriptive statistics

AgeMarital
Mean54.63333Mean1.833333
Median55Median2
Mode55Mode2
Standard Deviation10.32734Standard Deviation0.74664
Range51Range2
Minimum27Minimum1
Maximum78Maximum3

Exhibit 3: Pie charts

The pie chart for age shows that the most frequent age in the data set is 55 years at 9.7%, while the least percentage is 3.2%. A number of ages in the data set occur only once. The figure presented below shows the pie chart for age (Baltagi, 2011).

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The figure shows the pie chart for age

On the other hand, the pie chart for marital status shows that the data set contains a high percentage of married people, that is, 41.9% followed by single people at 35.5%. Divorced people take the least percentage in the data set, that is, 19.4%. The figure presented below shows the pie chart for marital status (Verbeek, 2008).

The figure shows the pie chart for marital status

References

Baltagi, B. (2011). Econometrics. New York, United States: Springer.

Blank, K. (2011). Business statistics: For contemporary decision making. New Jersey, United States of America: John Wiley & Sons.

Verbeek, M. (2008). A guide to modern econometrics. New Jersey, United States of America: John Wiley & Sons.

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IvyPanda. (2023, December 13). Measures of Central Tendency and Dispersion. https://ivypanda.com/essays/measures-of-central-tendency-and-dispersion/

Work Cited

"Measures of Central Tendency and Dispersion." IvyPanda, 13 Dec. 2023, ivypanda.com/essays/measures-of-central-tendency-and-dispersion/.

References

IvyPanda. (2023) 'Measures of Central Tendency and Dispersion'. 13 December.

References

IvyPanda. 2023. "Measures of Central Tendency and Dispersion." December 13, 2023. https://ivypanda.com/essays/measures-of-central-tendency-and-dispersion/.

1. IvyPanda. "Measures of Central Tendency and Dispersion." December 13, 2023. https://ivypanda.com/essays/measures-of-central-tendency-and-dispersion/.


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IvyPanda. "Measures of Central Tendency and Dispersion." December 13, 2023. https://ivypanda.com/essays/measures-of-central-tendency-and-dispersion/.

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