A measure of central tendency and variation, in this case, takes into consideration various pulse rates of 10 people at my workplace.
The Measure of Central Tendency
Mean, mode and median are measures of central tendency ( Saidi & Siew, 2019 ). The statistical data that relates to pulse rates in a population of 10 individuals showed differences in pulse with age. The participants included males and females. The rates included 67, 69, 69, 72, 71, 69, 71, 68, 67, and 72. The median, in this case, is 69. The case also presents 69 as the mode as it appears more frequent compared to values such as 72, 71, and 67.
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Mean is the most important measure of central tendency; the involvement of all values in the calculation of mean makes it essential. Changes that may take place in any value will always affect the mean. The addition of the above values before dividing them by 10 leads to 69.5 as the mean.
Standard Deviation and Range
Standard deviation is the square root of the variance ( Holmes et al., 2017 ). The definition, therefore, leads to the establishment of the variance. The process of squiring the differences between the values and the mean will also involve averaging the final value (32.5) with 10, hence leading to 3.25 as the variance. The square root of this value is 1.803, and this is a representation of the standard deviation. The range is the difference between the highest and lowest value ( Kwak & Kim, 2017) . The difference between 67 and 72 is 5; hence this value serves as the range.
Outliers
The useful data, in this case, does not contain outliers. In case the situation presented outliers, then it would be better to avoid them in further research. This move leads to improvement in the data significance. Experimental errors may lead to outliers ( Kwak & Kim, 2017 ).
Variables
Skewness is the exaggeration in variables that may either be the highest or lowest ( Holmes et al., 2017 ). Lack of skewness in the above data makes it easy for 67, 69, 69, 72, 71, 69, 71, 68, 67, and 72 to find use in the calculation of central tendency and variation.
Data Description
The data relates to changing pulse rates among people of different ages; the majority, however, fall in the range of 72 to 67.
Conclusion
In general, the above case helps in understanding central tendency and variation through the incorporation of pulse rates among different people at the workplace. Variables and outliers are other issues of concern in the case.
References
Holmes, A., Illowsky, B., & Dean, S. (2017). Introductory Business Statistics . Rice University.
Kwak, S. K., & Kim, J. H. (2017). Statistical data preparation: Management of missing values and outliers. Korean Journal of Anesthesiology , 70 (4), 407. https://dx.doi.org/10.4097%2Fkjae.2017.70.4.407
Saidi, S. S., & Siew, N. M. (2019). Assessing students' understanding of the measures of central tendency and attitude towards statistics in rural secondary schools. International Electronic Journal of Mathematics Education , 14 (1), 73-86. https://doi.org/10.12973/iejme/3968
