From the following data, estimate the population for the year 1986 graphically.

year	1960	1970	1980	1990	2000
Population (in thousands)	12	15	20	26	33

Using graphic method, find the value of y when x=27.

x	10	15	20	25	30
y	35	32	29	26	23

Find y when x = 0.2 given that

x	0	1	2	3	4
y	176	185	194	202	212

If y₇₅ = 2459, y₅₀ = 2018, y₈₅ = 1180, and y₉₀ =402, find y₈₂

x	75	80	85	90
y	2459	2018	1180	402

Find the number of men getting wages between Rs. 30 and Rs. 35 from the following table.

Wages (x)	20 - 30	30 - 40	40 - 50	50 - 60
No. of men (y)	9	30	35	42

Estimate the population for the year 1995.

year (x)	1961	1971	1981	1991	2001
population in thousands (y)	46	66	81	93	101

Using Lagrange's formula, find the value of y when x = 42 from the following table

x	40	50	60	70
y	31	73	124	159

Using Lagrange's formula and y(x) from the following table.

x	6	7	10	12
y	13	14	15	17

Find the missing term from the following data

x	1	2	3	4
y	100	-	126	157

If \(\mathrm{y}_{85}=2459, \mathrm{y}_{80}=2018, \mathrm{y}_{85}=1180\) and \(\mathrm{y}_{40}=402\). Find y₈₂

Find f(3) from the following data:

x	1	2	3	4	5
f(x)	2	5	-	14	32

Find the missing term 

x	5	10	15	20	25	30
y	7	11	14	-	24	32

From the following data, estimate the export for the year 2000

Year (x)	1999	2000	2001	2002	2003
Export (in tonnes) (y)	443	-	369	397	467

By constructing a difference table and using the third order differences as constant, find the 5^th term of the series 4, 13, 34, 73