Median Mean Mode Excel 2007

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How to mathematically find the Mean, Media, Mode, Maximum, and Minimum values. How to do these same stats using Microsoft Excel 2007.

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http://passyworldofmathematics.com/pwerpoints/

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Median Mean Mode Excel 2007

  1. 1. Mean, Median, Mode, Max, Min (Including Excel 2007) . This PowerPoint shows how to find the Mean, Media, Mode, Maximum, and Minimum values. It includes how to do these stats using Microsoft Excel 2007.
  2. 2. Mean, Median, Mode, Max, Min (Including Excel 2007) . Finding the MEAN (Mathematically Evaluated Average Number)We add up all the items, then divide by how manyitems we have. Mean = Total / How ManyExample 1. Two dice were thrown 10 times. For eachthrow their scores were added together and recorded.Find the mean and range for this data. 7, 5, 2, 7, 6, 12, 10, 4, 8, 9 Mean = 7 + 5 + 2 + 7 + 6 + 12 + 10 + 4 + 8 + 9 10 = 70 = 7 10 ( Range = Max – Min = 12 – 2 = 10 )
  3. 3. Mean, Median, Mode, Max, Min (Including Excel 2007) .Finding the MEAN using Excel 2007We type our items into Excel, and then type in theformula =average(start cell : end cell) like this: When we press enter, we get correct value of Mean Average = 7
  4. 4. Mean, Median, Mode, Max, Min (Including Excel 2007) . Finding the MEAN (longer way) using Excel 2007We use =sum for Total, then =Count for number ofitems. We then divide total by count to get the MEAN. =AVERAGE(B3:B12) does the same thing using one formula.
  5. 5. Averages (The MEDIAN)The median is the middle value of a set of data afterthe data has been ordered from lowest to highest.Example 1. Michael hit 11 balls at Hillside drivingrange. The recorded distances of his drives, measuredin meters, are given below. Find the median distancefor his drives. 85, 125, 130, 65, 100, 70, 75, 50, 140, 95, 70 50, 65, 70, 70, 75, 85, 95, 100, 125, 130, 140 Single middle value Ordered data Median drive = 85 meters Image Source: Daily Clip Art
  6. 6. Averages (The Median) The Median is the middle value of a set of data after the data has been ordered from lowest to highest.Example 1. Michael hit 12 balls at Churchill drivingrange. The recorded distances of his drives, measured inmeters, are given below. Find the median distance for hisdrives. 85, 125, 130, 65, 100, 70, 75, 50, 140, 135, 95, 7050, 65, 70, 70, 75, 85, 95, 100, 125, 130, 135, 140 Two middle values, so Ordered data Add & Divide by 2. Median drive = (85+95) / 2 = 90 meters
  7. 7. Averages (The MEDIAN by Position) The median can also be found at position (N+1)/2 in the ordered data, where N = the total number of items.Example 1. Michael hit 11 balls at Hillside driving range.The distances have been put into ascending order. The Median should be at position (11+1) /2 = the 6th item.Odd number of total items produces one item in the middle. 50, 65, 70, 70, 75, 85, 95, 100, 125, 130, 140 The 6th item Ordered data Median drive = 85 meters Image Source: Daily Clip Art
  8. 8. Averages (The MEDIAN by Position) The median can also be found at position (N+1)/2 in the ordered data, where N = the total number of items.Example 1. Michael hit 12 balls at Hillside driving range.The distances have been put into ascending order. The Median should be at position (12+1) /2 = the 6.5th item. Even number of total items produces two items in the middle. 50, 65, 70, 70, 75, 85, 95, 100, 125, 130, 135, 140 The 6.5th item is in between 85 and 95 Median drive = (85+95) / 2 = 90 meters Image Source: Daily Clip Art
  9. 9. Mean, Median, Mode, Max, Min (Including Excel 2007) .Finding the MEDIAN using Excel 2007We type our items into Excel, and then use theformula =median(start cell : end cell) like this: When we press enter, we get correct value of MEDIAN= 90
  10. 10. Averages (The MODE) The MODE is the value that we have most of after the data has been ordered from lowest to highest.Example. Tayla slept for 12 nights while on holidays.Her nightly hours of sleep are given below. Find the Mode. 8, 10, 8, 12, 7, 8, 6, 7, 8, 9, 8, 10 6, 7, 7, 8, 8, 8, 8, 8, 9, 10, 10, 12 There are more 8’s Ordered data than any other value. MODE hours of sleep = 8 hours
  11. 11. Mean, Median, Mode, Max, Min (Including Excel 2007) .Finding the MODE using Excel 2007We type our items into Excel, and then use theformula =mode(start cell : end cell) like this: When we press enter, we get correct value of MODE = 8
  12. 12. Mean, Median, Mode, Max, Min (Including Excel 2007) .Finding the MAX and MIN using Excel 2007We type our items into Excel, and then use theformula =max(start cell : end cell) like this: When we press enter, Excel locates the maximum value of12
  13. 13. Credits and ReferencesOriginal Powerpoint slides for Meanand Median came from the internetand were written by Mike Crowley.Mike’s PPT was then modified byPassy’s World of Mathematics toinclude the use of Excel statisticscommands.(Images from Google Images)
  14. 14. http://passyworldofmathematics.com/

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