For the following grouped frequency distribution find the mode: Class: 3-6 , 6-9 , 9-12 , 12-15 ,15-18 , 18-21 , 21-24 Frequency: 2 , 5 , 10 , 23 , 12 , 3

Explanation

` Modal class =12-15`


`Rightarrow 1=12, {f}_{1}=23, {f}_{0}=10, {f}_{2}=21 text { and } {h}=15-12=3 `


`Rightarrow text { Mode } =1+(frac{{f}_{1}-{f}_{0}}{2 {f}_{1}-{f}_{0}-{f}_{2}}) times {h} `


`=12+(frac{23-10}{2(23)-10-21}) times 3 `


`=12+frac{13}{15} times 3`


`=12+2.6 `


`=14.6 `


Hence,` text { Mode } =14.6`