Which measure of central tendency is given by the x-coordinate of the point of intersection of the ‘more than’ ogive and ‘less than’ ogive?
Answers
Median is given by the x-coordinate of the point of intersection of the ‘more than’ ogive and ‘less than’ ogive.
• In an ogive given data is plotted on X axis.
• Cumulative frequency is plotted on Y axis.
• So, intersection of more than ogive and less than ogive gives median value as X coordinate and corresponding Cumulative frequency as Y coordinate.
Median is given by the x-coordinate of the point of intersection of the more than ogive and less than ogive
Step-by-step explanation:
Median is given by the x-coordinate of the point of intersection of the more than ogive and less than ogive
Less than ogive
The points with the upper limits of the class are plotted on x axis and the corresponding less than cumulative frequencies on y axis.
More than ogive
The points with the Lower limits of the class are plotted on x axis and the corresponding more than cumulative frequencies on y axis.
The less than ogive curve gives cumulative frequency (probability) for x ≤ a.
The more than ogive curve gives cumulative frequency (probability) for x ≥ a.
cumulative frequency will be 50% of the total at intersection of the more than ogive and less than ogive which is Median
As we know that Median is middle data when data is arranged ascending/descending so cumulative frequency will be 50% at Median
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