Sec. 2.8 mean, median, mode and range
- 1. Learning Target:Students will learn how to calculate data using mean, median, mode and range. Students will learn how to justify which average best represents the data set.
- 2. Definitions:Mean (avg.) – Add up items Total itemsMedian – Middle # (must put them in order from smallest to largest)Mode – The value you see most oftenRange – Difference between the largest # and the smallest #Outlier – A number that is either a lot smaller or bigger then the rest of the data
- 4. Find the mean of the data.20, 25, 25, 20, 25
- 5. 20 + 25 + 25 + 20 + 2551155Mean = 23
- 6. Find the median of the data.(odd # of data values)91, 150, 80, 71, 74, 81, 83
- 7. Put them in order from smallest to largest. 91, 150, 80, 71, 74, 81, 83Find the middle value.71, 74, 80, 81, 83, 91, 150Median = 81
- 8. Find the median of the data(even # of data values)8, 13, 8, 4, 11, 4, 2, 6
- 9. Put them in order from smallest to largest.2, 4, 4, 6, 8, 8, 11, 13Find the middle value.2, 4, 4, 6, 8, 8, 11, 13Average the two numbers (6 + 8) / 214/2Median = 7
- 10. Find the mode.14, 10, 9, 7, 14, 16, 147, 1, 2, 6, 1, 726, 22, 10, 12, 16, 28
- 11. 14, 10, 9, 7, 14, 16, 14mode = 147, 1, 2, 6, 1, 7mode = 1 and 726, 22, 10, 12, 16, 28mode = no mode(write no mode, do not just put a 0)
- 12. Find the range.91, 150, 80, 71, 74, 81, 80, 77
- 13. 91, 150 , 80, 71 , 74, 81, 80, 77150 – 71Range = 79
- 15. Find the mean, median, mode and range. Which average(s) represents the data the best.25, 32, 32, 34, 35, 36, 38, 41, 69
- 16. Mean = 342/9 = 38 25, 32, 32, 34, 35, 36, 38, 41, 69 Median = 35 25, 32, 32, 34, 35, 36, 38, 41, 69 Mode = 32Range = 69 – 25 = 44Best Average = Median(mean is too high because of the outlier 69)
- 17. Can you calculate data using mean, median, mode and range. Can you justify which average best represents the data set.