Q4 of 40 Page 210

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


Find the average population in each village.

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.


More from this chapter

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2

Number of families in a village in correspondence with the number of children are given below:


Find the mean number of children per family.

 3

If the mean of the following frequency distribution is 7.2 find value of ‘K’.

 5

AFLATOUN social and financial educational program intiated savings program among the high school children in Hyderabad district. Mandal wise savings in a month are given in the following table.


Find arithmetic mean of school wise savings in each mandal. Also find the arithmetic mean of saving of all schools.

 6

The heights of boys and girls of IX class of a school are given below.


Compare the heights of the boys and girls


[Hint : Find median heights of boys and girls]