Organizing and Summarizing Data
Organizing and Summarizing Data MAT 120
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This 2 page Class Notes was uploaded by Andrew Isbell on Thursday August 25, 2016. The Class Notes belongs to MAT 120 at Tri-County Technical College taught by Merle Glick in Fall 2016. Since its upload, it has received 7 views. For similar materials see Probability and Statistics in Mathmatics at Tri-County Technical College.
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Date Created: 08/25/16
Organizing and Summarizing Data Andrew Isbell *Organizing Qualitative data: Data which is not yet organized is referred to as “Raw Data” Frequency distribution the frequency of each category and the number of times this category occurs. Relative frequency the proportion/percent of observations within a category ad is found using the formula, Frequency/Sum of all frequencies. Pareto chart a bar graph in which the bars are in decreasing order, from tallest to shortest Pie chart a circle divided into sections which each represents a category of data by utilizing relative frequency Bar graphs display either frequency or relative frequency while pie charts can only display relative frequency *Organizing Quantitative data: Two types: Discrete (counted) and Continuous (measured) With discrete, categories are formed and values are placed according to their category With continuous, histograms may be made. Unlike a bar graph, a histogram has bars which are touching, however, like a bar graph, either frequency or relative frequency may be shown Classes are categories in which continuous data is classified in. These are made when the values of data are large. For example, instead of 0, 1, 2 & 3, there may be 050,50100 and so on Lower class limit the lowest value in a data set High class limit the highest value in a data set Class width the difference between the high class limit and the lower class limit Generally, there are between five and twenty classes Class width is equal to the highest class limit the lower class limit/ the number of classes Stemleaf plots are also an option Stem all digits besides the last digit Leafthe last digit not included in the stem Stem and Leaf plots do not lend themselves well to large data sets, however one notable advantage is how specific they are S and L plots are always in ascending (smallest to largest) order Split stems may be used as well which will reveal the distribution of data better In a split stem and leaf plot, each value has its own stem and leaf Raw data may be retrieved with both a stem and leaf plot and a split stem and leaf plot Dot plots may be drawn although these are not common in most cases Dot plots look just like bar graphs, but with dots instead of bars No label is needed on the yaxis, the number of dots are only counted to find its value Dot plots are used for discrete quantitative data Shapes of Distributions how data is spread out: Uniform distribution (symmetric) the frequency of each value of the variable is evenly spread out cross the values of the variable Bellshaped (symmetric) highest frequency in the middle with tail offs at beginning and ends of graphs Skewed right most frequency values on the left of the graph Skewed leftmost frequency values on the right of the graph