From the following frequency distribution, what will be the median using the 'more than' ogive?

Score
No. of candidates
400-450
20
450-500
35
500-550
40
550-600
32
600-650
24
650-700
27
700-750
18
750-800
24

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454

575

500

400

answer is B.

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Detailed Solution

The given frequency distribution table is:

Score	No. of candidates
400-450	20
450-500	35
500-550	40
550-600	32
600-650	24
650-700	27
700-750	18
750-800	24

We have to find the median of the grouped data using the more than type ogive graph.

Score	No. of candidates
More than 400	20+35+40+32+24+27+18+24=220
More than 450	35+40+32+24+27+18+24=200
More than 500	40+32+24+27+18+24=165
More than 550	32+24+27+18+24=125
More than 600	24+27+18+24=93
More than 650	27+18+24=69
More than 700	18+24=42
More than 750	24

∴ N = 2202 = 110

To draw the “more than” type ogive graph of the data, we will take the upper class limits of class interval on x-axis and their respective frequencies on y-axis and consider the point N w.r.t x axis.
Question Image

From the above graph, the value of the score on point of intersection is the median.
Thus, the median of the data is 575.
Therefore, the correct option is 2.

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