Mathematics LBS 4. Spreadsheet Mathematics: Statistics and Graphing. Finding the Mean, Median, & Mode
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1 Mathematics LBS 4 Spreadsheet Mathematics: Statistics and Graphing Lab 2: Finding the Mean, Median, & Mode Microsoft Excel Logo and all screens captured by permission of Microsoft Goal To use Excel to find the Mean, Median, and Mode of a set of data. Learning Outcomes After completing this section, the student should be able to enter data onto an Excel spreadsheet sort the data from smallest to largest by using the "sort" function use the "Paste Function" to find the Mean, Median, and Mode of a set of data save the spreadsheet for further analysis Prior Learning Before attempting this unit it is expected that the student has completed Lab 1 of "Spreadsheet Math" and/or knows how to enter and format data in an Excel Spreadsheet completed the Statistics Module in LBS-4 Mathematics learned how to calculate the mean, median, and mode by hand Contents Review of Measures of Central Tendency Using Excel to sort data Using Excel's "Paste function" to find Mean, Median, and Mode Hand - in Assignment Spreadsheet Math: Statistics and graphing, Lab 2, Mean, Median and Mode 1
2 Spreadsheet Math Lab 2: Finding the Mean, Median & Mode New Words: Sort, Autosum ( E ), Paste Function ( f n ) and Data Analysis Review of Measures of Central Tendency Mean: The arithmetic mean is the most common measure of central tendency used to describe a set of data. More commonly known as the average it is found by adding the values of the data and dividing by the number of data. Median: The median is a measure of central tendency that describes the middle of the set of data. It is found by arranging values in order from smallest to largest and locating the middle figure. Mode: The mode is the most frequently occurring value in a set of data. Using Excel to Sort and Analysis Data 1. A large taxicab company has a fleet of 45 cabs. The following are the number of litres of gasoline each cab used last month Open Excel. ( See Lab 1 if you have forgotten how to open Excel) 3. Enter the above data into your worksheet, using Column A for the cab # and column B for the # of litres of gasoline. ( see sample below ). Check to see that you have entered the data exactly as given. Edit any cell if necessary. 4. In order to better organize and describe your data it is best to rearrange your data and list values in order from smallest to largest. Excel will do this for you. First, select the data you wish to sort. (B2:B46). 5. Then Click on the sort button your values. A Z on the tool bar. Note what happens to Spreadsheet Math: Statistics and graphing, Lab 2, Mean, Median and Mode 2
3 Sort Data A to Z Select Data B2:B46 Data will be arranged from smallest to largest value. Numbers are arranged smallest to largest Spreadsheet Math: Statistics and graphing, Lab 2, Mean, Median and Mode 3
4 Descriptive Statistics Once the data is arranged from smallest to largest, it is easier to describe it. We can pick out the smallest number. The minimum value is 97. The largest value or the maximum value is 162. The range of the data is = 65 Measurements of Central Tendency The Median: Since there are 45 cabs the middle number will be the 23 rd. value. By looking at the sorted data we know that the median is 129. The Mode: is the value that occurs most frequently. By looking at the sorted data we see that 132 occurs 4 times. Therefore the Mode is 132. The Mean: The mean or average can be found by adding the values and dividing by 45. Excel has an Autosum ( E ) button that will automatically add a column of numbers and place the total at the bottom. To find the total go to cell B47, then Click on the autosum button. The numbers to be added will appear (B2:B46). Click again and the total will appear in cell B47. You can divide this total by the number of pieces of data, 45, to find the mean = = Autosum ( B2:B46) Active Cell B47 Spreadsheet Math: Statistics and graphing, Lab 2, Mean, Median and Mode 4
5 Using Excel s Paste Functions ( f n ) to Find Mean, Median & Mode Select a cell in which you wish to print the mean. ( Click on cell B49 to make it active.) 1 Click on the Paste Function ( f n ) button on the toolbar. A window will open. 2 Select statistical in the left column and average in the right column. Then Click OK. Another window will open in which you can select the data you want to find the mean for. 3 Make sure that you have included all the data and only the data ( Do not include the total) Select B2 : B46. Click OK. The average should appear in the active cell B49. 4 Repeat the above steps to find the Median and Mode. Make sure you first select an empty cell in which to print each of these statistics and label them. Using Excel s Paste Function: Paste function Select Statistical and Average Select Active Cell B49 Click OK Spreadsheet Math: Statistics and graphing, Lab 2, Mean, Median and Mode 5
6 Make sure that all data is included B2:B46 Click OK Check to see if your answers for the Mean, Median, and Mode are the same as you calculated earlier from the sorted data. Also check your answers with the picture below. Check Answers Spreadsheet Math: Statistics and graphing, Lab 2, Mean, Median and Mode 6
7 Hand in Assignment: 1. On your Excel Worksheet, Click on Sheet 2 Tab at the bottom of the worksheet. You will go to a new worksheet. 2. Enter the following marks received by students in a college Math test , 89, 45, 88, 67, , 99, 67, 73, 84, 22, 79, 80, 66, 74, 3. Use the Paste Function to find the Mean, Median, and Mode of the class marks. 4. Save and Print your worksheet and hand it in. ( If you have trouble saving or printing see Lab 1.) Spreadsheet Math: Statistics and graphing, Lab 2, Mean, Median and Mode 7
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