1) Find out Q3 from the given data. 2) Draw a population growth curve from the given data. Year Population (in Crores) 1951 36.1 1961 43.9 1971 54.8 1981 68.3 1991 84.6 2001 102.7 2011 121.02 - Economics

QUESTION

Solve the following:

1) Find out Q₃ from the given data.

2) Draw a population growth curve from the given data.

Year	Population (in Crores)
1951	36.1
1961	43.9
1971	54.8
1981	68.3
1991	84.6
2001	102.7
2011	121.02

Sum

SOLUTION

Year	Population (in Crores)	Cumulative frequency(cf)
1951	36.1	36.1
1961	43.9	80
1971	54.8	134.8
1981	68.3	203.1
1991	84.6	287.7
2001	102.7	390.4
2011	121.02	511.42
	N=511.42

Q₃ = size of 3${\displaystyle {\left(\frac{n+1}{4}\right)}^{\text{th observation}}}$

Q₃ = size of 3${\displaystyle {\left(\frac{511.42+1}{4}\right)}^{\text{th observation}}}$

Q₃ = size of 3${\displaystyle {\left(\frac{512.42}{4}\right)}^{\text{th observation}}}$

Q₃ = size of 3 (128.105)^{th observation}

Q₃ = size of 384.315^{th observation}

Size of 384.315^{th observation} lies in cf 390.4

Hence quartile value in the year 2001.

Q₃ = year 2001.