Please respond to the discussion

Discussion 1

Central tendency describe the central position withinthe set of data. Mean, mode, and median are the valid measures ofcentral tendency. Sometimes, measures of central tendency are moresuitable for data analysis than other statistic method but sometimesit is not suitable under some circumstance.

Mean

Itis defined as the equal of the sum of all the values in the data setand divided by the number of values in the data set. It isappropriate to use in both discrete and continuous data but it isbest to use with continuous data.

Meanis inappropriate to use when the comparison of values shows greatdifference. For example in a company one staff get $5k and anothergets $95k.

Mode

Thedata which occurs most frequently in series is called mode. Itrepresents the highest bar in a bar chart or in histogram. Itpresents the data in both nominal and categorical form.

However,the main problem of mode is that it gives trouble when two or morevalues shares the highest frequency. It is also not appropriate whenpopulations are multi-modal and unidentifiable.

Median

Medianis the middle value in the series of data. It is less affected byoutlines and skewed data. It is mostly used with disproportionatedata. It is not suitable if data are not in logical order.

Reference:

LaeredStatistics. (2013). Measure of Central tendency. Retrieved onFebruary 21, 2018, from https://statistics.laerd.com/statistical-guides/me…

Discussion 2

Mean, median and mode are measures of central tendency, with meanbeing the best measure of central tendency, and most frequently usedfor statistical analysis. The mean has a disadvantage, when thenumbers are skewed by outliers, which are values much different thanthe rest of the order set. An example is that it is not a good way tomeasure average salary when one or two salaries are much larger thanthe rest of the group. These large salaries would skew the central number.

Median takes the middle position when all observations are arrangedin an ascending or descending order. It is in the 50% place. Outliersdo not affect the median. It is easy to compute and comprehend yet itdoes not take into account the precise value of each observation, anddoes not use all the data (Manikandan, 2011).

Mode is the value that occurs most frequently in data. It is easy tocalculate, but some data sets do not have a mode because the numberoccurs only once (Manikandan, 2011). For example it is not the bestway to calculate people’s weight, as it is unlikely that youwould have two people with exactly the same weight (Measures ofCentral Tendency, n.d.).

Manikandan, S. (2011). Measures of central tendency: Median andmode. Journal of Pharmacology &Pharmacotherapeutics, 2(3), 214–215. http://doi.org/10.4103/0976-500X.83300

Measures of Central Tendency. (n.d.). Retrieved February 20, 2018,from https://statistics.laerd.com/statistical-guides/me…

Characteristicsof mean, median, and mode are similar along with measuring differentdata. Understanding statistics starts with these three factors. Theyare all methods of calculation to help with interpretation of data.Each method is looking for the midpoint statistically.

Meanis when the average is being referred to and is executed by addingall the numbers together (Russell, D. 2017). The total of the sum isthen divided by the number of figures in the study. This will givethe mean such as 11, 23, 44, 62, and 70 =210/5= 42. So 42 is the mean.

Modejust means a list of numbers judged by the frequency. How often doeseach number appear? So with mode you may have a mode, bimodal,multimodal, or no mode.

Medianis the middle such as the middle child. If someone states that theyare the middle child then the assumption is that there are twosiblings one older and one younger. If there is an odd number thenthe median is the middle number. If there is an even number then themiddle two numbers are added together and then divided by two andthis will give the median.

Salaryis one area that the mean is not an accurate measure. Mean is skewedwhen the data is normal as the mean loses its value. Outliers canaffect outcomes but doesn't affect the median as much. Mode is themost frequent score on the data base. This is true unless there aretwo or more values that are equal and then it is more difficult tofind the most unique answer. Mode is not as accurate with continuousdata also N.A. (2018).

References:

Russell,D. (2017). How to Calculate the Mean, Median, and Mode.Retrieved from https://www.thoughtco.com/the-mean-median-and-mode

N.A. (2018) Measures of Central Tendency. Retrieved from https://statistics.laerd.com/statistical-guides/me…

Discussion 3

Characteristicsof mean, median, and mode are similar along with measuring differentdata. Understanding statistics starts with these three factors. Theyare all methods of calculation to help with interpretation of data.Each method is looking for the midpoint statistically.

Meanis when the average is being referred to and is executed by addingall the numbers together (Russell, D. 2017). The total of the sum isthen divided by the number of figures in the study. This will givethe mean such as 11, 23, 44, 62, and 70 =210/5= 42. So 42 is the mean.

Modejust means a list of numbers judged by the frequency. How often doeseach number appear? So with mode you may have a mode, bimodal,multimodal, or no mode.

Medianis the middle such as the middle child. If someone states that theyare the middle child then the assumption is that there are twosiblings one older and one younger. If there is an odd number thenthe median is the middle number. If there is an even number then themiddle two numbers are added together and then divided by two andthis will give the median.

Salaryis one area that the mean is not an accurate measure. Mean is skewedwhen the data is normal as the mean loses its value. Outliers canaffect outcomes but doesn't affect the median as much. Mode is themost frequent score on the data base. This is true unless there aretwo or more values that are equal and then it is more difficult tofind the most unique answer. Mode is not as accurate with continuousdata also N.A. (2018).

References:

Russell,D. (2017). How to Calculate the Mean, Median, and Mode.Retrieved from https://www.thoughtco.com/the-mean-median-and-mode

N.A. (2018) Measures of Central Tendency. Retrieved from https://statistics.laerd.com/statistical-guides/me…