IB Math AI 42 Presentation of data











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https://alphyschool.org • When presenting data, histograms and box-whisker plots are great tools to visually represent the distribution of your data. Histograms are a type of bar graph that groups data into intervals and shows the frequency of each interval. Box-whisker plots show the distribution of data using quartiles and outliers. • On the other hand, cumulative frequency curves are used to display the cumulative frequency of data. They are plotted by ordering the data from smallest to largest and then plotting the cumulative frequency against the upper-class boundaries. • To create a histogram, you should first determine the range of your data and then divide it into intervals or bins. Next, count the number of data points that fall into each bin and create a bar for each bin with the height corresponding to the frequency of data points in that bin. • To create a box-whisker plot, you should first calculate the quartiles and then plot the box, whiskers, and outliers. The box represents the middle 50% of the data, with the median as the line in the middle. The whiskers extend to the minimum and maximum values within 1.5 times the interquartile range (IQR). Any data points outside of the whiskers are considered outliers. • Finally, to create a cumulative frequency curve, you should first determine the upper-class boundaries for each interval and then calculate the cumulative frequency for each interval. Plot the cumulative frequency against the upper-class boundaries to create the curve. • Remember, when presenting data, it's important to choose the appropriate visualization based on the type and distribution of the data.

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