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Attempt this Question on Graph Paper. - Mathematics

Sum

Attempt this question on graph paper. 

Age (yrs ) 5-15 15-25 25-35 35-45 45-55 55-65 65-75
No.of casualties 6 10 15 13 24 8 7

(1) Construct the 'less than' Cumulative frequency curve for the above data. using 2 cm =10 years on one axis and 2 cm =10 casualties on the other. 

(2)From your graph determine : 

(a)the median 

(b)the lower quartile   

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Solution

Age (years) No.of casualties  Cumulative frequency 
5-15 6 6
15-25 10 16
25-35 15 31
35-45 13 44
45-55 24 68
55-65 8 76
65-75 7 83 

Numberof terms=83 


(1) ∴ Median = `83/2` = 41.5th term 

Through 41.5th term mark draw a line parallel to the x-axis which meets the curve at A. draw aaa  prependicular to x-axis which meets it at B. value of B is the  median = 43 

(2) lower Quartile = Q1=`83/4= 20 3^("th")/4` term = 29

Upper Quartile = `83xx3/4=62 1^("th")/4` term = 53

  Is there an error in this question or solution?
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