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The Virginia SOLS A.9 and A.10- Statistics A.9: The student, given a
The Virginia SOLS A.9 and A.10- Statistics A.9: The student, given a

... A z-score (standard score) is a measure of position derived from the mean and standard deviation of data. A z-score derived from a particular data value tells how many standard deviations that data value is above or below the mean of the data set. It is positive if the data value lies above the mean ...
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...  With an even number of data points, we take the average of the two middle values.  Here the two middle values are the same, so in this case the median is 17.4 ...
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... The median is the middle number. To find the place of the middle number put the values in order and count how many values there are. Add 1 to that number and divide by 2. This will give you the place of the median. In the example above: 16 people climbed the mountain. 16 + 1 is 17. 17 ÷ 2 is 8½. The ...
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Chapter 2-5: Statistic Displaying and Analyzing Data
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... How many people do you know with the same first name? Some names are more popular than others. The table lists the top five most popular names for boys and girls born in each decade from 1950 to 1999. ...
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... tablets, etcetera). Recall that two surveys were done, each with 30 participants. In the first case (Survey A), the survey was random, in the second case (Survey B), the survey only included families with at least one teenager. The dot plots of the results are shown below. ...
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... Median for grouped data –the number in the middle of the data. Half of the area of the histogram should be on each side of this value. To determine the median: 1. The area of the entire histogram must be determined. To do this, calculate the area of each rectangle (A = l · w) and add all the areas t ...
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... Data reduction: principal component analysis. Assume a data set of m attributes. This could be viewed as points in an m-dimensional space, with each attribute represesnted by an axis. Principal component analysis attempts to map this space onto a smaller k-dimensional space, this reducing the numbe ...
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Data mining

Data mining (the analysis step of the ""Knowledge Discovery in Databases"" process, or KDD), an interdisciplinary subfield of computer science, is the computational process of discovering patterns in large data sets (""big data"") involving methods at the intersection of artificial intelligence, machine learning, statistics, and database systems. The overall goal of the data mining process is to extract information from a data set and transform it into an understandable structure for further use. Aside from the raw analysis step, it involves database and data management aspects, data pre-processing, model and inference considerations, interestingness metrics, complexity considerations, post-processing of discovered structures, visualization, and online updating.The term is a misnomer, because the goal is the extraction of patterns and knowledge from large amount of data, not the extraction of data itself.It also is a buzzword and is frequently applied to any form of large-scale data or information processing (collection, extraction, warehousing, analysis, and statistics) as well as any application of computer decision support system, including artificial intelligence, machine learning, and business intelligence. The popular book ""Data mining: Practical machine learning tools and techniques with Java"" (which covers mostly machine learning material) was originally to be named just ""Practical machine learning"", and the term ""data mining"" was only added for marketing reasons. Often the more general terms ""(large scale) data analysis"", or ""analytics"" – or when referring to actual methods, artificial intelligence and machine learning – are more appropriate.The actual data mining task is the automatic or semi-automatic analysis of large quantities of data to extract previously unknown, interesting patterns such as groups of data records (cluster analysis), unusual records (anomaly detection), and dependencies (association rule mining). This usually involves using database techniques such as spatial indices. These patterns can then be seen as a kind of summary of the input data, and may be used in further analysis or, for example, in machine learning and predictive analytics. For example, the data mining step might identify multiple groups in the data, which can then be used to obtain more accurate prediction results by a decision support system. Neither the data collection, data preparation, nor result interpretation and reporting are part of the data mining step, but do belong to the overall KDD process as additional steps.The related terms data dredging, data fishing, and data snooping refer to the use of data mining methods to sample parts of a larger population data set that are (or may be) too small for reliable statistical inferences to be made about the validity of any patterns discovered. These methods can, however, be used in creating new hypotheses to test against the larger data populations.
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