Q. 44.6( 44 Votes )

Number of villages with respect to their population as per India census 2011 are given below.



Find the average population in each village.

Answer :

Given is the frequency distribution table for ungrouped data.

We have



20 villages each have 12k population,


15 villages each have 5k population,


And so on…


This also implies that,


Total population of 20 villages = 12 × 20 = 240,


Total population of 15 villages = 5 × 15 = 75,


And so on…


Mean of such ungrouped data is given by




[ ∑xifi = 2571 & ∑fi = 145]


Mean = 17.731


Mean = 17.731 × 1000


Mean = 17731


Thus, average population in each village is 17731.


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