bus-stat-book1

Example 3 age group in years 15 20 20 25 25 30 30 35

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Unformatted text preview: interval. Example 3: Age group (in years) 15-20 20-25 25-30 30-35 35-40 40-45 Number of women 3 7 15 21 12 6 Less than Cumulative frequency 3 10 25 46 58 64 More than cumulative frequency 64 61 54 39 18 6 (a) Less than cumulative frequency distribution table End values upper less than Cumulative limit frequency Less than 20 3 Less than 25 10 Less than 30 25 Less than 35 46 Less than 40 58 Less than 45 64 60 (b) More than cumulative frequency distribution table End values lower limit 15 and above 20 and above 25 and above 30 and above 35 and above 40 and above Cumulative frequency more than 64 61 54 39 18 6 4.8.1 Conversion of cumulative frequency to simple Frequency: If we have only cumulative frequency ‘ either less than or more than’ , we can convert it into simple frequencies. For example if we have ‘ less than Cumulative frequency, we can convert this to simple frequency by the method given below: Class interval ‘ less than’ Simple frequency Cumulative frequency 15-20 3 3 20-25 10 10 − 3 = 7 25-30 25 25 − 10 = 15 30-35 46 46 − 25 = 21 35-40 58 58 − 46 = 12 40-45 64 64 − 58 = 6 Method of converting ‘ more than’ cumulative frequency to simple frequency is given below. Class interval ‘ more than’ Simple frequency Cumulative frequency 15-20 64 64 − 61 = 3 20-25 61 61 − 54 = 7 25-30 54 54 −39 = 15 30-35 39 39 − 18 = 21 35-40 18 18 − 6 = 12 40-45 6 6−0 = 6 61 4.9 Cumulative percentage Frequency table: Instead of cumulative frequency, if cumulative percentages are given, the distribution is called cumulative percentage frequency distribution. We can form this table either by converting the frequencies into percentages and then cumulate it or we can convert the given cumulative frequency into percentages. Example 4: Income (in Rs ) No. of Cumulative Cumulative family frequency percentage 2000-4000 8 8 5.7 4000-6000 15 23 16.4 6000-8000 27 50 35.7 8000-10000 44 94 67.1 10000-12000 31 125 89.3 12000-14000 12 137 97.9 14000-20000 3 140 100.0 Total 140 4.10 Bivariate frequency distribution: In the previous sections, we de...
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