# frequency histogram and polygon

Draw a histogram for the given data. Frequency Polygon. To construct a frequency polygon, first examine the data and decide on the number of intervals, or class intervals, to use on the [latex]x[/latex]-axis and [latex]y[/latex]-axis. All the solutions of Bar Graph, Histogram and Frequency Polygon - Mathematics explained in detail by experts to help students prepare for their CBSE exams. It is also used to represent the distribution of data graphically. of Students 12 22 35 40 60 52 40 30 5 3. However, it has a major difference when compared to the histogram: instead of having the class intervals on the horizontal axis clearly showing their upper and lower limits, a frequency polygon uses the midpoints of the class intervals. A rule of thumb is to use a histogram when the data set consists of 100 values or more. For drawing a frequency polygon of a continuous frequency distribution, we plot the points whose ordinates are the frequencies of the respective classes and abscissae are, respectively asked Feb 2, 2018 in Class IX Maths by navnit40 ( -4,939 points) R S Aggarwal and V Aggarwal Solutions for Class 9 Mathematics CBSE, 17 Bar Graph, Histogram and Frequency Polygon. ... You may be interested in taking a look at our histogram maker, which possibly gives you a more accurate depiction of the shape of the distribution. A frequency polygon is similar to a histogram, except that the x-axis plots the mid-point for each interval. For most of the work you do in this book, you will use a histogram to display the data. Frequency Polygons. A frequency histogram is a graphical version of a frequency distribution where the width and position of rectangles are used to indicate the various classes, with the heights of those rectangles indicating the frequency with which data fell into the associated class, as the example below suggests. Instead of bars, the neighbouring points are connected by lines. Visualise the distribution of a single continuous variable by dividing the x axis into bins and counting the number of observations in each bin. Steps: 1. Frequency Polygons Frequency polygons are analogous to line graphs, and just as line graphs make continuous data visually easy to interpret, so too do frequency polygons. 2. Frequency polygons are more suitable when you want to compare the distribution across the levels of a categorical variable. One advantage of a histogram is that it can readily display large data sets. 2.2 Histograms, Frequency Polygons, and Time Series Graphs. Frequency polygons are analogous to line graphs, and just as line graphs make continuous data visually easy to interpret, so too do frequency polygons. Click hereto get an answer to your question ️ Draw a histogram and frequency polygon to represent the following data.Marks 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100 No. Mark the mid-point at the top of each rectangle of the histogram drawn. Construct a combined histogram and frequency polygon for the following frequency distribution: Class-Intervals: 10 - 20: 20 - 30: 30 - 40: 40 - 50: 50 - 60: Frequency: 3: 5: 6: 4: 2: Solution Show Solution. Histograms (geom_histogram()) display the counts with bars; frequency polygons (geom_freqpoly()) display the counts with lines. Use this Frequency Polygon Graph Maker to construct a frequency polygon based on a sample provided in the form of grouped data, with classes and frequencies. The interval mid points for our frequency intervals are 1, 3, 5, 7, and 9. 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