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Question 6 Table 1 For the following question(s), refer to the table below. class interval cum f cum % 100.00 98.56 93.53 82.73 67.63 41.01 22.30 8.63 4.32 1.44 relative % 90-99 1.44 5.04 70-79 60-69 50-59 40-49 21 26.62 18.71 13.67 4.32 2.88 1.44 19 31 12 20-29 10-19 Refer to Table 1. What is the cumulative percentage below the lower real limit of the interval 90-992 a. 98.56 b.100.00 c. 5.04 d. 137 às Moving to another question will save this response

Answer 1

Firstly, let us consider on Cumulative Percentage :

It is an another way of expressing the frequency distribution .

It calculates the Percentage of Cumulative Frequency within each class interval .

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Mathematically, it is represented as : $Cumulative Percentage = \frac{Cumulative Frequency * 100}{Total Observations}$

Similarly, in above question lower real limit of class interval 90 - 99 is 90 .

and below the lower real limit of class interval 90 - 99 is 89 (i.e. class interval 80 - 89) .

and given , its cumulative Frequency is 137 and Percentage of cumulative frequency is =$= \frac{137 * 100}{139} = 98.56$

and Cumulative Frequency is the sum of all preceding frequencies at that point it means ,

Percentage of Cumulative Frequency is the Percentage of all Cumulative Frequencies below the lower real limit of class interval 90 - 99 (i.e. class interval 80 - 89) .

Hence , Correct answer is 98.56 .