Use the assumed-mean method to find the mean height of the plants from the following frequency-distribution table.


Height in cm (xi)



61



64



67



70



73



No. of plants (fi)



5



18



42



27



8


Let the assumed mean be A = 67


So, we arrange the given data as under :


Height (in cm)


(xi)



No. of plants


(fi)



=di = xi - A



= di × fi



61



5



-6



-30



64



18



-3



-54



67



42



0



0



70



27



3



81



73



8



6



48




∑fi = 100




∑xifi = 45



We know,


Mean =


Hence, The mean height of the plants = 67.45 cm.


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