Which of the following is true regarding the cumulative frequency distribution?

Greater than cumulative frequency distribution represents lower boundaries of the classes

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Greater than cumulative frequency distribution represents upper boundaries of the classes

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Less than cumulative frequency distribution represents lower boundaries of the classes

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Less than cumulative frequency distribution represents upper boundaries of the classes

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Solution

The correct options are
A Greater than cumulative frequency distribution represents lower boundaries of the classes
D Less than cumulative frequency distribution represents upper boundaries of the classes
The progressive sum of the frequencies from the first data value to a particular data value is the less than cumulative frequency.

The distribution that represent lower boundaries of the classes and their respective Greater than cumulative frequencies is called Greater than cumulative frequency distribution.

The distribution that represent upper boundaries of the classes and their respective less than cumulative frequencies is called less than cumulative frequency distribution.

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Ages	$1 - 3$	$4 - 6$	$7 - 9$	$10 - 12$	$13 - 15$
No of children	$10$	$12$	$15$	$13$	$9$

Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution?

$\begin{matrix} Height & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 & 150 - 160 Number of students & 7 & 9 & 12 & 10 & 4 \end{matrix}$

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