# 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.

(a)the median

(b)the lower quartile

#### 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?