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Mean, Median, Mode & Range

Mean, Median, Mode & Range. Outlier. An outlier is a data item that is much higher or much lower than items in a data set. 1, 2, 5, 27, 3, 4. Definition. Mean – the average of a group of numbers. 2, 5, 2, 1, 5. Mean = 3. BACK. Mean is found by evening out the numbers. 2, 5, 2, 1, 5.

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Mean, Median, Mode & Range

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  1. Mean, Median, Mode & Range

  2. Outlier • An outlier is a data item that is much higher or much lower than items in a data set. • 1, 2, 5, 27, 3, 4

  3. Definition • Mean– the average of a group of numbers. 2, 5, 2, 1, 5 Mean = 3 BACK

  4. Mean is found by evening out the numbers 2, 5, 2, 1, 5 BACK

  5. Mean is found by evening out the numbers 2, 5, 2, 1, 5 BACK

  6. Mean is found by evening out the numbers 2, 5, 2, 1, 5 mean = 3 BACK

  7. How to Find the Mean of a Group of Numbers • Step 1 – Add all the numbers. 8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96 BACK

  8. How to Find the Mean of a Group of Numbers • Step 2 – Divide the sum by the number of addends. 8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96 How many addends are there? BACK

  9. How to Find the Mean of a Group of Numbers • Step 2 – Divide the sum by the number of addends. 1 6 6) 96 # of addends sum 6 3 6 3 6 BACK

  10. Definition • Median– the middle number in a set of ordered numbers. 1, 3, 7, 10, 13 Median = 7 BACK

  11. How to Find the Median in a Group of Numbers • Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 BACK

  12. How to Find the Median in a Group of Numbers • Step 2 – Find the middle number. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 BACK

  13. How to Find the Median in a Group of Numbers • Step 2 – Find the middle number. 18, 19, 21, 24, 27 This is your median number. BACK

  14. How to Find the Median in a Group of Numbers • Step 3 – If there are two middle numbers, find the mean of these two numbers. 18, 19, 21, 25, 27, 28 BACK

  15. How to Find the Median in a Group of Numbers • Step 3 – If there are two middle numbers, find the mean of these two numbers. 46 21+ 25 = median 23 2) 46 BACK

  16. What is the median of these numbers? 16, 10, 7 7, 10, 16 10 BACK

  17. Definition • Mode– the number that appears most often in a set of numbers. 1, 1, 3, 7, 10, 13 Mode = 1 BACK

  18. How to Find the Mode in a Group of Numbers • Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 18 18, 18, 19, 21, 24 BACK

  19. How to Find the Mode in a Group of Numbers • Step 2 – Find the number that is repeated the most. 21, 18, 24, 19, 18 18, 18, 19, 21, 24 BACK

  20. Definition • Range– the difference between the greatest and the least value in a set of numbers. 1, 1, 3, 7, 10, 13 Range = 12 BACK

  21. How to Find the Range in a Group of Numbers • Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 BACK

  22. How to Find the Range in a Group of Numbers • Step 2 – Find the lowest and highest numbers. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 BACK

  23. How to Find the Range in a Group of Numbers • Step 3 – Find the difference between these 2 numbers. 18, 19, 21, 24, 27 27 – 18 = 9 The range is 9 BACK

  24. What is the range? 29, 8, 4, 8, 19 4, 8, 8, 19, 29 29 – 4= 25 BACK

  25. What is the range? 22, 21, 27, 31, 21, 32 21, 21, 22, 27, 31, 32 32 – 21 = 11 BACK

  26. What is the range? 31, 8, 3, 11, 19 3, 8, 11, 19, 31 31 – 3 = 28 BACK

  27. What is the range? 23, 7, 9, 41, 19 7, 9, 23, 19, 41 41 – 7 = 34 BACK

  28. 17, 18, 19, 21, 24,26, 27 The lower quartile (LQ) is the median of the lower half of the data. The LQ is 18. The upper quartile (UQ) is the median of the upper half of the data. The UQ is 26. The interquartile range is UQ-LQ BACK

  29. Even amounts divide in 2 equal halves. 13,15,18,19,22,25 L.Q. U.Q. BACK

  30. Key Skills TRY THIS Use data to construct a histogram. Jose bowled 11 games: 172, 152, 168, 157,143, 175,144, 164, 142, 172, 168. Histogram:

  31. Find the median 76, 78, 82, 87, 88, 88, 89, 90, 91, 95 88 Find the median of this segment Find the median of this segment. 82 90 76,78, 82 88, 89,90 3rd quartile 1st quartile

  32. End of 1st quartile Median Minimum End of 3rd quartile Maximum 76, 78, 82, 87, 88, 88, 89, 90, 91, 95 75 100 80 85 70 105 90 95 65 Now for the box and whisker

  33. Find the median 142, 143, 144, 152, 157, 164, 168, 168, 172, 172 175. 164 Find the median of this segment Find the median of this segment. 144 172 142, 143, 144 168, 168, 172 3rd quartile 1st quartile

  34. Mean, Median, Mode & Range BACK

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