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A survey reagarding the heights ( in cm) of 50 girls of class X of a school was conducted and the following data was obtained. Findthe mean, median and mode of the above data. |
Answer» Solution : (i) Mean : Mean =(Sigmaf_(i)x_(i))/(Sigmaf_(i)) =7490/50 =149.80` (ii) Median : Here, `N/2=50/2 =25` `:.` Median class is 150 -160 `:.` Median `=l_(1)+((N/2-C))/FXXI` `=150+(25-22)/20xx10` `=150+1.5=151.5` (iii) Mode : CLEARLY the modal class is 150-160 as it has the maximum frequency Mode =`l+((f_(1)-f_(0))/(2f_(1)-f_(0)-f_(2)))xxh` `=150+((20-12)/(40-12-8)) xx10` `=150+8/20xx10` =150+4=154 Hence, the mean height of the girls =149.80 cm the median height =151.5 cm and the modal height =154 cm |
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