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

⇒

⇒ [∵ ∑x_{i}f_{i} = 2571 & ∑f_{i} = 145]

⇒ Mean = 17.731

⇒ Mean = 17.731 × 1000

⇒ Mean = 17731

Thus, average population in each village is 17731.

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