# Data representation and analysis in Excel

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1 Page 1 Data representation and analysis in Excel Let s Get Started! This course will teach you how to analyze data and make charts in Excel so that the data may be represented in a visual way that reflects the nature of data. The nature of Excel program makes cross platform importing and styling charts much easier, and boasts a fluid and visual interface. To make a chart, first ensure that you have data. What is the nature of your data? Think of the data that you have and how you want to showcase it. Dimensions How many groups of data are associated at every single data point? This determines the dimension of your data. If you are trying to represent the speed of a car with respect to time, this would be a 2 D data group. If you are trying to represent the mass and velocity of a launching rocket over a period of time, your data are 3 D. An energy landscape of (X,Y) coordinates and respective energy values is also a 3 D data group. Anything dealing with parts of a whole, or adding up to a certain percentage, is a 1 D data group. You can also create charts that presents to up to 7 D (or more) of data, such as a scalar field in 3 D directions, but most people find hard to register with more than 7 or 8 dimensions. Chart Types One Dimensional Chart Pie Use a pie graph to show any amount of data

3 Page 3 Line/Scatter A line graph is just a scatter point graph with dots connected and evenly distributing a value along the x axis. For this reason it is much less used than a scatter point. Use a line/scatter graph to see a trend in one set of data, or to compare the trends of several sets of data. They are also good for graphs using dates or time. To produce a trend, we usually require a decent number of data points. Scatter point charts are widely used in research and industries because of its excellent potential to be analyzed. A scatter point chart starts with a data table of more than 5 data points. As an example, a free fall process of 5 seconds with the distance travels measured every 0.5 seconds would have 11 data points. The resulting plot should hae two variables: time and distance. Of the 2 variables, the independent variable should be on the x axis and the dependent variable should be on the y axis. When creating a chart for research purposes, several elements are essential to your chart representation: the axis labels with units and figure legend explaining the nature of the graph below the graph. Often a title is not necessary. Multi Dimensional Charts Line/ scatter Often times our data might have more than one dependents variable associated with the independent variable. For example, in the experiment above, the velocity can be measured at every point in addition to the distance traveled. Such data would have more than 2 columns and would require more than 1 point group/ line to represent.

4 Page 4 Heat map/wind rose Sometimes our data would have more than one independent variable. Heat maps are used to present range at given locations, it would have two independent variables: latitude and longitude, and one dependent variable, the temperature. The temperature would presented by a range of colors, usually warmer colors mean higher temperatures and cooler colors mean lower. Another kind of map is the wind rose. It s two independent variables are direction and frequency, and the dependent variable is the percentage. Note the color scheme on the charts. When presenting the figures, it s almost never a good idea to present a heat map with black and white, as this would dull the distinction between warm and cool colors. On the other hand, if you think your graph might be presented in black and white, consider choosing a monochromatic color scheme.

5 Page 5 Inserting a Chart If you don t select any data, Excel will create a chart that includes all of the data on your sheet. You can also choose to select data by clicking and dragging, or by holding down the Ctrl key and selecting rows and columns. Make sure your column and row headers are included if you want your data in the chart labeled. Once you ve decided whether or not to select your data, go ahead and either select the appropriate data or make sure that no cells are selected.

7 Page 7 The Linear option should be used if your dependent variable and the independent variable are directly proportional with each other. It would display a straight line on the graph. The Polynomial option can be used if the dependent and the independent variable are related in the certain order. Ie, the time and distance traveled example on page three. The order depends on the number of peaks in the data set, and always equal to a maxim/minimum +1. The Moving Average option is most often used in statistical samples when each data point have no correlation with the independent variable. Sometimes the graphs call for Equations and R squared values. These can be displayed by checking the Display Equation on chart and Display R squared value on chart options. Error Bars In the Design toolbar, click Add Chart Element> Error Bars to label the data sets with corresponding Error bars. With a given data set, Excel can calculate the standard deviation of the set and label it on the graph. Longer error bar would indicate larger more deviation to an average value. Similar to Format Trendline box, the Format Error Bar box can help you adjust the kinds of error bars or even help define a custom amount. Select Data If you change your mind about the data you selected and would like to select different data, you can accomplish this by clicking on Select Data in the Design ribbon. Here you can decide what needs to go in the chart. In the Legend Entries (Series) column, you can decide how many sets of data you want to have in the chart. Most will automatically have 2 series set, even if you only select one series of data. Click on a Series, and then the Edit button. You can change the name of what each line, bar, or plot point will be. You can also add more by clicking the Add button. In the Series name box, type = Name of Series. In Series values

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