# statistic discussion response

Please respond to the discussion

**Discussion 1**

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

Mean

It is defined as the equal of the sum of all the values in the data set and divided by the number of values in the data set. It is appropriate to use in both discrete and continuous data but it is best to use with continuous data.

Mean is inappropriate to use when the comparison of values shows great difference. For example in a company one staff get $5k and another gets $95k.

Mode

The data which occurs most frequently in series is called mode. It represents the highest bar in a bar chart or in histogram. It presents the data in both nominal and categorical form.

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

Median

Median is the middle value in the series of data. It is less affected by outlines and skewed data. It is mostly used with disproportionate data. It is not suitable if data are not in logical order.

Reference:

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

**Discussion 2**

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

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

Mode is the value that occurs most frequently in data. It is easy to calculate, but some data sets do not have a mode because the number occurs only once (Manikandan, 2011). For example it is not the best way to calculate peopleâ€™s weight, as it is unlikely that you would have two people with exactly the same weight (Measures of Central Tendency, n.d.).

Manikandan, S. (2011). Measures of central tendency: Median and mode. *Journal of Pharmacology & Pharmacotherapeutics*, *2*(3), 214â€“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…

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

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

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

Median is the middle such as the middle child. If someone states that they are the middle child then the assumption is that there are two siblings one older and one younger. If there is an odd number then the median is the middle number. If there is an even number then the middle two numbers are added together and then divided by two and this will give the median.

Salary is one area that the mean is not an accurate measure. Mean is skewed when the data is normal as the mean loses its value. Outliers can affect outcomes but doesn’t affect the median as much. Mode is the most frequent score on the data base. This is true unless there are two or more values that are equal and then it is more difficult to find the most unique answer. Mode is not as accurate with continuous data 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**

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

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

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

Median is the middle such as the middle child. If someone states that they are the middle child then the assumption is that there are two siblings one older and one younger. If there is an odd number then the median is the middle number. If there is an even number then the middle two numbers are added together and then divided by two and this will give the median.

Salary is one area that the mean is not an accurate measure. Mean is skewed when the data is normal as the mean loses its value. Outliers can affect outcomes but doesn’t affect the median as much. Mode is the most frequent score on the data base. This is true unless there are two or more values that are equal and then it is more difficult to find the most unique answer. Mode is not as accurate with continuous data 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…