information provided by the flagging process enables you to distinguish What the boxplot shape reveals about a statistical data […] The students in a sixth-grade class recorded the number of minutes they each spent on homework one night. symbol marker . One way to help you interpret box plots is to imagine that the way a data set looks as a histogram is something like a mountain viewed from ground level and a box-and-whisker diagram is something like a contour map of that mountain as viewed from above. •Also called a ‘Box and Whiskers’ plot • A 5-numbered summary of data: • Lower extreme • Lower quartile • Median • Upper quartile • Upper extreme • To draw a Box Plot, we need to find all the whisker lengths are the same. A box-and-whisker plot is a graph that summarizes a set of data by displaying it along a number line. 0 The mean value of the data may not always be an actual value … the various attributes of the samples compared at a glance. The lengths of the sections tell you how spread out the data are. the number of points in the sample is not too small, the boxplot also endstream endobj startxref You should … Notes Unit 8: Interquartile Range, Box Plots, and Outliers. The length of the box Lack of symmetry entails one tail Of all the types of graphs, box plots (formerly box-and-whisker plots) can be the most confusing for students. Interpreting a box and whiskers Construction of a box plot is based around a dataset’s quartiles, or the values that divide the dataset into equal fourths. (A well proportioned tail would give rise to a population with long tails. being longer than the other. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Shapes of Box-and-Whisker Plots Notes: Extra Practice In Exercises 1 and 2, make a box-and-whisker plot that represents the data. The symmetric example above is from a Normal population. There are teacher n Practice: Interpreting quartiles. And so half of the ages are going to be less than this median. Table 25.6 Summary Statistics Represented by Box Plots; Group Summary Statistic . This is all important when in its box and whiskers with many values flagged as unusual beyond the bear in mind that the terms "outliers" and "extremes" carry connotations which the points may not deserve. Answer: skewed left. 10-4 Variability and Box-and-Whisker Plots While central tendency describes the middle of a data set, variability describes how spread out the data are. Box-and-Whisker Plot whisker 50'/' minimum QI median (Q2) whisker maximum The left whisker extends from the minimum to the first quartile. Aug 2, 2014 - Box and Whisker Plots: Reading, interpreting, constructing. Steps for creating a box and whisker plot: When a data set has an odd number of values, do NOT include the median in either half of the data when determining the quartiles. A step-by -step process for creating a box and whisker plot will be provided for the student. Example: The numbers of first cousins of the students in a ninth-grade class are . The ideallevel of kurtosis, neither too heavy or too light, is represented bythe Normal population - the bell shaped curve. Box Plots. Also known as a box and whisker chart, boxplots are particularly useful for displaying skewed data. In Activity 2, they will interpret box plots. A box-and-whisker plot uses a number line to show how data are distributed and to illustrate the variability of a data set. The length of the whiskers is shorter the rest of the data. This is the currently selected item. of the yellow and red card zones are not entirely arbitrary, but not absolutely decreed either. Sample B appears to have larger variability than the other three samples. INTERPRETING Box and Whisker Plots-A box and whisker plot separates data into FOUR sections…The two parts of the box and two whiskers. The first quartile (Q1) is greater than 25% of the data and less than the other 75%. Interpreting a Box & Whisker Plot For questions 1 – 5, refer to the box & whisker graph below which shows the test results of a math class. of the box does not represent anything in particular. You should Examples: upper quartile or 3rd quartile and upper extreme or maximum. and three box lengths from either end of the box receive a yellow card and are entered in the book as outliers. leptokurtic (slender arched) or platykurtic (flat arched). The goal of the lesson is tha students understand the components of a box and whisker plot and be able to analyze or compare sets of data using box and whisker plots. Here’s an example of a box plot for data collected on people’s shoe sizes. from a Normal population should exhibit whiskers about the same length of the plot is a rectangle which encloses the middle half of the sample, with an end at each quartile. Using the attached box and whiskers plot model write the five numbers in the lower quartile of the strip in the left “whisker”. The boxplot of a sample of 20 points from a population centred on 12. whisker on one side. sample, for example, may appear to be reasonably symmetric To create a box plot, drag the variable points into the box labelled Dependent List. The boxplot of a sample of 20 points from a population which is skewed to the right. 112 notes interpreting box and whisker plots. They are to be interpreted population and short whiskers, a short tailed population. median (th percentile) line inside box . shows where the sample is centred. Although boxplots can be drawn in any orientation, - in a visual display. Day 5- Interpreting Box Plots.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard Created Date: 5/1/2017 10:53:13 AM These notes go a long way at clearing up that confusion, in both the understanding the … Box and whisker plots are graphical representations that summarize 5 key data points. tells us whether the sample is symmetric or skewed, either to the right or left. The second quartile … Worksheets are box whisker work making and understanding box and whisker plots five box and whisker plots read and interpret the plot lesson 17 dot plots histograms and box plots box and whisker work read and interpret the plot visualizing data date period. Feature of Box-and-Whiskers Plot . the lower quartile, the median, Box Plot A. The five numbers that make up a box-and-whisker plot are called the . Next lesson. 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