Question

less than ogive and more than ogive of a grouped cumulative frequency distribution intersect at (140,70).find the median of the distribution

Answer 1

Answer:

140

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Answer 2

Given:

Less than ogive and more than ogive meet at (140,70)

To Find:

Find the median of the distribution.

solution:

Less than ogive:

In this the frequencies are added starting from the upper limit of the first class interval. In this the cumulative tends to increase.It shows the upward curve.

More than ogive:

In this the frequencies are added starting from the lower limit of the first class interval . in this the cumulative tends to decreas. It shows the downward curve.

Median:

Median of the distribution is the point which shows the middle most value of the distribution after arranging the data.

Less than ogive and more than ogive have the same middle point , so they intersect at the median.Here the intersection point is (140,70).

So 140 is the observation and 70 is its frequency.

Hence the median of the distribution is 140.