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L2 calc stats 08feb12

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  • 1. Learning IntentionRevise the statistical measuresmean, median, moderange, upper and lower quartiles, interquartile rangedisplays (graphs) which are good for showing these measures Please write this in your notes book
  • 2. Find the mean of the numbers 4, 0, 3, 11 and 6. 4 0 3 11 6 Add up and divide by the number of scores.x 5 24 5 4 .8
  • 3. Find the median of these sets of numbers:a 4, 8, 3, 11, 6b 3, 5, 7, 4, 9, 2c 4, 7, 7, 3, 9, 8a 3, 4, 6, 8, 11 First put the numbers in order. Work in from the ends to find the middle. The median is 6b 2, 3, 4, 5, 7, 9 First put the numbers in order. Work in from the ends to find the middle. The median is half way between 4 and 5. The median is 4.5c 3, 4, 7, 7, 8, 9 First put the numbers in order. Work in from the ends to find the middle. There are two middle numbers, both of The median is 7 which are the same.
  • 4. Find the mode of these sets of numbers:a 6, 9, 4, 5, 7, 2, 7, 5, 7, 3b 8, 9, 3, 8, 9, 4, 7c 6, 12, 11, 9, 10a 6, 9, 4, 5, 7, 2, 7, 5, 7, 3 Which number is most common? The mode is 7.b 8, 9, 3, 8, 9, 4, 7 Which number is most common? There are two modes, 8 and 9.c 6, 12, 11, 9, 10 Which number is most common? There is no mode.
  • 5. Calculate the range of the numbers 10, 20, 2, 25, 11, 18, 23. The largest value = 25The smallest value = 2 Range = 25 – 2 = 23
  • 6. Find the lower and upper quartiles for each of 12 14 17 20 21 21 21 26 12 14 17 20 21 21 21 26 Find the median.The median is 20.5Find the median of the lower group.The low group is 12, 14, 17, 20 which has a median of 15.5Find the median of the high group.The high group is 21, 21, 21, 26 which has a median of 21LQ = 15.5UQ = 21 The interquartile range = 21 – 15.5 = 5.5
  • 7. Find the lower and upper quartiles for each of 0 2 3 5 6 8 9 9 10 12 0 2 3 5 6 8 9 9 10 12 Find the median.The median is 7Find the median of the lower group.The low group is 0, 2, 3, 5, 6 which has a median of 3Find the median of the high group.The high group is 8, 9, 9, 10, 12 which has a median of 9LQ = 3UQ = 9 IQR = 9 - 3 =6
  • 8. Find the lower and upper quartiles for each of 45 47 52 61 77 45 47 52 61 77 Find the median.The median is 52Discard 52 so that the remaining numbers form two equal groups.Find the median of the lower group.The low group is 45, 47 which has a median of 46Find the median of the high group.The high group is 61, 77 which has a median of 69LQ = 46UQ = 69 IQR = 69 - 46 = 23
  • 9. Think, pair, shareWhat display types (graphs) could youuse to display theMedian, Range, UQ, LQ and IQR ?
  • 10. Geogebra Box Plot vs Dot Plot per FT p.129 RHS Box Plot vs Histogram per FT p.128 RHS not really covered Box plots (comparison) Mean vs median vs spread
  • 11. This exercise is to becompleted on refill andhanded in for marking.
  • 12. Using the Graphics Calculator to find statisticsUse the Graphics calculator to find the median, range, upper quartile, lowerquartile and inter-quartile range.Main menu: StatDelete lists: (F6), DEL-A (F4), YES (F1) (just in case there is already data there)Enter data into list: data value, EXE (after each data value)Calculate statistics: > (more options) (F6), CALC (F2), SET (F6) (check for top option 1VAR XList: List 1) 1VAR (F1)The symbols for:Median = Med Range = maxX—minXlower quartile = Q1 upper quartile = Q3inter-quartile range = Q3—Q1
  • 13. Using the Graphics Calculator to graph statisticsOnce you have the five point summary, use the GC to graphMain menu: Stat The data and stats are is still thereGraph Statistics GRPH (F1), SET (F6), down arrow to Graph Type Select Box (may need to > for more options) EXE GPH1 will display box and whisker