# What is the formula to use median when more than ogive is given?

More than type

We can write the given table for more than type as follows.

 Marks obtained Number of students (Cumulative frequency) More than or equal to 0 80 More than or equal to 10 78 More than or equal to 20 77 More than or equal to 30 74 More than or equal to 40 69 More than or equal to 50 60 More than or equal to 60 45 More than or equal to 70 23 More than or equal to 80 11 More than or equal to 90 4

Construction of Ogive of more than type

The smooth curve drawn between the lower limits of class intervals and cumulative frequencies is called cumulative frequency curve or ogive (for more than type).

The method of construction of more than type ogive is same as the construction of less than type. For more than type ogive, we take the lower limits on x-axis and the cumulative frequencies on the y-axis. In the above table, the lower limits and the cumulative frequencies have been represented.

The ogive of more than type is obtained by plotting the points (0, 80), (10, 78), (20, 77), (30, 74), (40, 69), (50, 60), (60, 45), (70, 23), (80, 11), (90, 4).

The ogive of more than type of the previous table has been shown below. Formula to find the median with the help of more than ogive

Number of observations, n = 80 Mark the point 40 on the vertical line and then draw a horizontal line from this point. Let this line intersect the ogive at point A. Now, draw a vertical line through A. Median is the point at which this vertical line intersects the horizontal line. Hence, the median is 62(approximately).

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Sorry, my question was:

What is the formula to calculate median when more than ogive is given?

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Take the value of  n/2 at y-axis and draw a perpendicular to the ogive. the x-coordinate the point of intersection is the median.

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