How many workers produced less than 23 tools? Solution: Using formula for determining the number of class intervals, we have Sturges’ Number of class intervals = 1+ 3.322 log10N 1+ 3.322 log10100 7.6 Sizes of class interval = = = 5 Hence taking the magnitude of class intervals as 5, we have 7 classes 13-17, 18-22… 43-47 are the classes by inclusive type. Using tally marks, the required frequency distribution is obtain in the following table- Class Tally Marks Number of Interval tools produced (Frequency) 13-17 6 18-22 11 23-27 18 28-32 25 33-37 22 38-42 11 43-47 7 Total 100 Cumulative frequency table: Example: Age group No of Less than More than (in yrs) Women Cumulative Cumulative frequency frequency 15-20 3 3 64 20-25 7 10 61 25-30 15 25 54 30-35 21 46 39 35-40 12 58 18 40-45 6 64 6 Less than cumulative frequency distribution table End values upper Less than Cumulative limit frequency Less than 20 3 Less than 25 10
How many workers produced less than 23 tools? Solution: Using Sturges’ formula for determining the number of class intervals, we have Number of class intervals = 1+ 3.322 log10N 1+ 3.322 log10100 7.6 Sizes of class interval = = = 5 Hence taking the magnitude of class intervals as 5, we have 7 classes 13-17, 18-22… 43-47 are the classes by inclusive type. Using tally marks, the required frequency distribution is obtain in the following table- Class Tally Marks Number of Interval tools produced (Frequency) 13-17 6 18-22 11 23-27 18 28-32 25 33-37 22 38-42 11 43-47 7 Total 100 Cumulative frequency table: Example: Age group (in yrs) No of Women Less than Cumulative frequency More than Cumulative frequency 15-20 3 3 64 20-25 7 10 61 25-30 15 25 54 30-35 21 46 39 35-40 12 58 18 40-45 6 64 6 Less than cumulative frequency distribution table End values upper Less than Cumulative limit frequency Less than 20 3 Less than 25 10
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