Descriptive Statistics and Probability Distribution Problem Sets

Descriptive Statistics and Probability Distribution Problem Sets
Emily Noah
QNT561
Anthony Matias
December 24, 2012

Descriptive Statistics and Probability Distribution Problems Sets Descriptive statistics and probability distribution is two ways to find information with certain data giving. In Descriptive statistics the data can give a mode, mean, median, and range by the numerical information, which is giving to find the information. In probability distribution the data is collected and this is the way to determine the outcome of the information.
Descriptive Statistics In descriptive statistics this is where the mean, mode, median, and range can be found of different number to find the center of the information and to find the information, which is not the center. The mean stands for the total of the number information added together and divided by the number of the numbers. For example, a student has a 86%, 96%, 85%, and 90%, so the first thing is to add the percentages together which will give the student 357%, so the third step is to divide 357% by four because there were four different percentages. So the total of the student’s grade will be 89.25%, but the teacher would round the grade to an 89%. Median is the middle numbers added together after the numbers are arrange in order after you divide it by the number of numbers that are in the middle. So using the same numbers listed above the order would be 85%, 86%, 90%, and 96%. The middle two numbers are 86% and 90%, which the total of those numbers are 176%. The next step is to take 176% and divide that by two because there are two numbers in the middle because there was an even amount off numbers. The total of the two numbers divided by two is 88% percent.
The mode in statistics is the number, which is used the most in a group of numbers or data. For example, 1, 3, 5, 5, 6, 6, 6,6,10, and 12, the mode in this example would be the number six because it is the number, which is used the most in this data or group of numbers. The range can be found by minus the larger number with the lowest number, which will give the range. In descriptive statistics can be used in grading, financial information to see where the budget stands and with gas prices as well. According to Joseph James, these are the basic descriptive measures, which try to summarize data by giving a few numerical measures of where the center of the data sets and how the rest of the values fall away from the center (James, 1999).
Probability Distribution Probability distribution is a table, graph, and equation can be used to find the outcome of certain information. For example, if a customer bought a bag of M&M’s what would be the probability he, or she would pull out a red M&M. The colors in M&M’s are yellow, blue, green, red, orange, and brown. So in a bag of M&M’s there are six colors the probability of getting a red M&M is either zero or one. Probability distribution is used to find an outcome of data to figure out what mostly would happen or determine the statistics of the probability. In a nursing facility they receive patients from hospitals, assisted living, rehab buildings, home, and other nursing facilities a probability distribution, which can be determine in a nursing facility is how many patients were admitted with an infection or pressure sore and how many developed an infection or pressure sore during their stay. Probability distribution can be used to determine an outcome and probability can show and determine the number of an outcome.
Conclusion
Descriptive statistics is different from probability distribution. Descriptive statistics gives the average, range, and popular information compare to probability distribution, which gives the outcome of data. The two methods can be helpful in the workforce and different organizations to figure out information to give the outcome of all their data.
References
James, Joseph. (1999). Descriptive Statistics: Where they sit and how they fall. Library Hi Tech 17, 4: 402-409. ProQuest. Marshall, Gill., & Jonker, Leon. (Oct 2010). A concise guide to descriptive statistics. Synergy: 22-25. ProQuest.
McClave, J. T., Benson, P. G., & Sincich, T. (2011). Statistics for business and economics (11th ed.). Boston, MA: Prentice Hall.
Pirouzi, Fard., & Mir, Nabi. (Jun 2010). Probability plots and order statistics of the standard extreme value distribution. Computational statistics 25. 2: 257-267. ProQuest.

References: James, Joseph. (1999). Descriptive Statistics: Where they sit and how they fall. Library Hi Tech 17, 4: 402-409. ProQuest. Marshall, Gill., & Jonker, Leon. (Oct 2010). A concise guide to descriptive statistics. Synergy: 22-25. ProQuest. McClave, J. T., Benson, P. G., & Sincich, T. (2011). Statistics for business and economics (11th ed.). Boston, MA: Prentice Hall. Pirouzi, Fard., & Mir, Nabi. (Jun 2010). Probability plots and order statistics of the standard extreme value distribution. Computational statistics 25. 2: 257-267. ProQuest.