EASTERN WASHINGTON UNIVERSITY start something big 11. Define the term Measure of
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Question
EASTERN WASHINGTON UNIVERSITY start something big 11. Define the term Measure of Central Te and give at least two example. (3pts) V Year -3 12. What is special about normally distributed data when it comes to measures of central tendency? (pts) 13, Define the term Measure of Variability, and give at least two eaimples. 6pts) less Extra Credit: 1 . This Exam was-win/hdth (+1pts) 2. Define a type of response bias. (+ Ipts) 3. Define Kurtosis and draw and label an example of either leptokurtic or platykurtic. (+2pts) 4. A researcher collects data on the number of math classes different college majors are required to attend. How should the research present the means for each major? 4+1pts) sineExplanation / Answer
11. A measure of central tendency is a single value that describes the way in which a group of data clusters around a central value. To put in other words, it is a way to describe the center of a data set. There are three measures of central tendency: the mean, the median, and the mode.
Three Measures of Central Tendency
1. The mean is the average of all numbers and is sometimes called the arithmetic mean. To calculate mean, add together all of the numbers in a set and then divide the sum by the total count of numbers. For example, in a data center rack, five servers consume 100 watts, 98 watts, 105 watts, 90 watts and 102 watts of power, respectively. The mean power use of that rack is calculated as (100 + 98 + 105 + 90 + 102 W)/5 servers = a calculated mean of 99 W per server.
2. In the data center, means and medians are often tracked over time to spot trends, which inform capacity planning or power cost predictions.The statistical median is the middle number in a sequence of numbers. To find the median, organize each number in order by size; the number in the middle is the median. For the five servers in the rack, arrange the power consumption figures from lowest to highest: 90 W, 98 W, 100 W, 102 W and 105 W. The median power consumption of the rack is 100 W. If there is an even set of numbers, average the two middle numbers. For example, if the rack had a sixth server that used 110 W, the new number set would be 90 W, 98 W, 100 W, 102 W, 105 W and 110 W. Find the median by averaging the two middle numbers: (100 + 102)/2 = 101 W.
The mode is the number that occurs most often within a set of numbers. For the server power consumption examples above, there is no mode because each element is different. But suppose the administrator measured the power consumption of an entire network operations center (NOC) and the set of numbers is 90 W, 104 W, 98 W, 98 W, 105 W, 92 W, 102 W, 100 W, 110 W, 98 W, 210 W and 115 W. The mode is 98 W since that power consumption measurement occurs most often amongst the 12 servers. Mode helps identify the most common or frequent occurrence of a characteristic. It is possible to have two modes (bimodal), three modes (trimodal) or more modes within larger sets of numbers.
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