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Range

Range. Noemi Navas Arranz. 1. Look at this information. 2. In pairs, answer these questions: 1. What is the lowest number of hours?_____ 2. What is the highest number of hours?_____ 3. What is the difference between the highest and the lowest number of hours?_____. 9. 22. 22 – 9 = 13.

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Range

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  1. Range Noemi Navas Arranz

  2. 1. Look at this information.

  3. 2. In pairs, answer these questions: 1. What is the lowest number of hours?_____ 2. What is the highest number of hours?_____ 3. What is the difference between the highest and the lowest number of hours?_____ 9 22 22 – 9 = 13 13

  4. That is the RANGE. 3. Complete this definition. Use some of the words above. The RANGE is the ____________ between the ___________ and the ___________ number or piece of data. highest number lowest range piece of data difference hours 22 – 9 = 13 difference highest lowest

  5. 4. Look at this data and calculate the range. Highest number Lowest number 19 – 2 = 17 The range is 17

  6. 5. In groups, calculate the range for your own data.

  7. Median

  8. 1. Look at this information again. 2. In pairs, order the data from the lowest to the highest number. 3. Then, copy the data in order in your worksheet.

  9. Does your table look like this one? Which piece of data is in the middle? ______ 1 2 3 4 5 6 7 8 9 15 That is the MEDIAN.

  10. 1 2 3 4 5 6 7 8 9 • In order to calculate the piece of data that is in the middle... • Count the pieces of data. • Add on 1 and divide by 2. • (n+1):2= (9+1):2= 10:2= 5 So, in this case, the median is the 5th number.

  11. 4. Complete. Use some of the words below. The MEDIAN is the___________ that is in the ________ when the pieces of data are in _______ from the _______ to the ________. piece of data middle order lowest highest number lowest range middle piece of data order highest median

  12. So, in this table... The range is _______ and the median is ______. 13 15

  13. 5. What is the median of these data? Calculate in pairs.

  14. Order the pieces of data. 2, 5, 7, 8, 14,19 Is there a problem? There is no middle number, so... Add up the two middle numbers and divide the result by 2. (n+n):2= When there is an even number of pieces of data, this is the way to calculate the median. (7+8):2= 15:2= 7,5

  15. 6. In groups, calculate the median for your own data.

  16. Mode

  17. 1. Look at these frequency charts. The mode is 0.

  18. The mode is 2.

  19. The mode is 9.

  20. The mode is 3.

  21. The mode is 1.

  22. In pairs, think what mode is. The mode is 0. The mode is 0. The mode is 2. The mode is 2. The mode is 9. The mode is 9. The mode is 3. The mode is 3. The mode is 1. The mode is 1.

  23. 2. Let’s work it out! Do you know what the mode is? The mode is the most / least repeated piece of data.

  24. 3. Check it! The mode is 0. The mode is 2. The mode is 9. The mode is 3. The mode is 1.

  25. 4. You can identify the mode from... a frequency chart.

  26. You can identify the mode from... a bar chart.

  27. You can identify the mode from... a bar line chart.

  28. You can identify the mode from... a pie chart.

  29. You can identify the mode from... a line graph.

  30. You can identify the mode from... 0, 0, 0, 0, 0, 0, 0, 0 1, 1, 1, 1, 1, 1, 1 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 4, 4, 4, 4, 4 5, 5 the data.

  31. 5. Look at this frequency chart. Portions of fruit and vegetables eaten per day.

  32. Now, answer these questions. Portions of fruit and vegetables eaten per day • How many pupils eat 3 portions per day? • How many portions do 4 pupils eat? • How many pupils answered the question? • How many pupils eat less than 3 portions per day? • What is the mode? 9 5 25 5 3

  33. 6. Look at this information again. Work in pairs. What is the mode?

  34. 9 11 12 14 15, 15 18 21 22 The most repeated piece of data is ___. The mode is ___. 15 15

  35. So, in this table... The range is _______, the median is ______ and the mode is _______. 13 15 15

  36. 7. Discuss in groups. What is the mode now? There are no repeated numbers, so there is no mode.

  37. 8. Discuss in groups. What is the mode now? • There are two numbers repeated three times, so... • there is no mode or • the modes are 11 and 14.

  38. 9. In groups, calculate the mode for your own data.

  39. Mean

  40. 1. Look at this information again. 1. Count the number of pieces of data. 2. Add up all the data. 3. Divide the result by the number of pieces of data. That is the MEAN.

  41. Work in pairs. 1. Count the number of pieces of data. 2. Add up all the data. 3. Divide the result by the number of pieces of data. That is the MEAN. The mean can be different from the numbers of the data. 1 2 3 4 5 6 7 8 9 9 21+15+9+15+14+11+22+12+18= 137 137:9= 15,22

  42. 2. So, in this table... The range is _______, the median is ______, the mode is _______ and the mean is _______. 13 15 15 15,22

  43. 3. What is the mean of these data? Calculate in pairs.

  44. Count the number of pieces of data. • Add up all the data. 6 1 2 3 4 5 6 14+15+14+18+17+14= 92 3. Divide the result by the number of pieces of data. The MEAN is _____ 92:6= 15,33 15,33

  45. 4. In groups, calculate the mean for your own data.

  46. Frequency charts available from http://uk.ixl.com/math/ http://www.ixl.com/math/practice/grade-4-frequency-charts. (Accessed 1 March 2011)

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