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Draw a "less than ogive" for the following data: class:1-4,4-7,7-10,10-13,13-16,16-19 and frequency:6,30,40,16,4,4.?
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Draw a "less than ogive" for the following data: class:1-4,4-7,7-10,10...
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Draw a "less than ogive" for the following data: class:1-4,4-7,7-10,10...
Less Than Ogive for the Given Data

To draw a less than ogive for the given data, we need to follow the below-mentioned steps:

Step 1: Calculate the cumulative frequency of the given data.

  • Class: 1-4, 4-7, 7-10, 10-13, 13-16, 16-19

  • Frequency: 6, 30, 40, 16, 4, 4

  • Cumulative Frequency: 6, 36, 76, 92, 96, 100


Step 2: Calculate the percentage of cumulative frequency.

  • Total Frequency: 100

  • Cumulative Frequency: 6, 36, 76, 92, 96, 100

  • Percentage of Cumulative Frequency: 6%, 36%, 76%, 92%, 96%, 100%


Step 3: Plot the points of percentage of cumulative frequency on the y-axis and class intervals on the x-axis.

  • Class Interval (x-axis): 1-4, 4-7, 7-10, 10-13, 13-16, 16-19

  • Percentage of Cumulative Frequency (y-axis): 6%, 36%, 76%, 92%, 96%, 100%


Step 4: Join the plotted points with the help of a smooth curve from left to right to get a less than ogive.

Explanation:

In statistics, a less than ogive is a graph that represents the cumulative distribution of a set of continuous or discrete data. It is also called a cumulative frequency curve. A less than ogive is used to determine the number of elements or observations that fall below a certain value. In this question, we have to draw a less than ogive for the given data. To do so, we first need to calculate the cumulative frequency of the data. Then, we need to calculate the percentage of cumulative frequency and plot the points of percentage of cumulative frequency on the y-axis and class intervals on the x-axis. Finally, we join the plotted points with a smooth curve from left to right to get a less than ogive.
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Draw a "less than ogive" for the following data: class:1-4,4-7,7-10,10-13,13-16,16-19 and frequency:6,30,40,16,4,4.?
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Draw a "less than ogive" for the following data: class:1-4,4-7,7-10,10-13,13-16,16-19 and frequency:6,30,40,16,4,4.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Draw a "less than ogive" for the following data: class:1-4,4-7,7-10,10-13,13-16,16-19 and frequency:6,30,40,16,4,4.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Draw a "less than ogive" for the following data: class:1-4,4-7,7-10,10-13,13-16,16-19 and frequency:6,30,40,16,4,4.?.
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