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Question

The table shows the Distribution of the Scores obtained by 155 shooters in a shooting competition.

ScoresNo. of shooters0101010201220301530408405020506024607077080118090309010018

Use a graph sheet to draw an ogive for the distribution.

Using the graph estimate the Median.


  1. 50

  2. 55

  3. 65

  4. 60


Solution

The correct option is B

55


First , we prepare the Cumulative frequency table as follows :

C.Ifcf010101010201222203015373040845405020655060248960707967080111078090301379010018155

Then draw the Graph of the 'less than ogive' and plot the points :

(0,0) , (10,10) , (20,22) , (30,37) , (40,45) , (50,65) , (60,89) , (70,96) , (80,107) , (90,137) , (100,155)\

n = 155 which is odd

Median will be given by - (n+12)th term.

n+12 = 1562 = 78th term

Take a point A on 78 on y - axis and from there draw a line parallel to the X - axis touching the ogive at point B. 

From the point B, draw a vertical point which touches the x - axis at point C. The point C represents the required median which is 54.

Median = 78th term = 55.

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