The weekly observations on cost of living index in a certain city for the year 2004-2005 are given below. Compute the weekly cost of living index.
Cost of living
Index Number of
students Cost of living
Index Number of students
1400-1500 $5$ 1700-1800 $9$
1500-1600 $10$ 1800-1900 $6$
1600-1700 $20$ 1900-2000 $2$

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Solution

Answer:-
Cost of living index $x_{i}$ Frequency
$(f_{i})$ $f_{i} x_{i}$
1400-1500 1450 5 7250
1500-1600 1550 10 15500
1600-1700 1650 20 33000
1700-1800 1750 9 15750
1800-1900 1850 6 11100
1900-2000 1950 2 3900

$Σ f_{i} = 52$ $Σ f_{i} x_{i} = 86500$
Mean $= \frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{86500}{52} = 1663.46$

The weekly cost of living index is $1663.46$ .

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Q. The weekly observations on cost of living index in a certain city for the year 2004 − 2005 are given below. Compute the weekly cost of living index.

Cost of living Index	Number of Students	Cost of living Index	Number of Students
1400−1500 1500−1600 1600−1700	5 10 20	1700−1800 1800−1900 1900−2000	9 6 2

Q. The weekly observation on cost of living Index in a ccrtain city for the year 2000 - 2001 are given below Compute the mean weekly cost of living index

Cost of Living Index	Number of weeks
140 - 150	5
150 - 160	10
160 - 170	20
170 - 180	9
180 - 190	6
190 - 200	2
Total	52

Q. In a city, the weekly observations made on the cost of living index are given below.

Cost of living index	Number of weeks
140−150	5
150−160	10
160−170	20
170−180	9
180−190	6
190−200	2

Represent the above information in the form of a histogram.

From the following frequency distribution, find the median class:

$\begin{matrix} Cost of living index & 1400 - 1550 & 1550 - 1700 & 1700 - 1850 & 1850 - 2000 Number of weeks & 8 & 15 & 21 & 8 \end{matrix}$

What comes next in the Arithmetic progression: 1400, 1500, 1600, 1700, ...?

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Cost of living Index	Number of students	Cost of living Index	Number of students
1400-1500	$5$	1700-1800	$9$
1500-1600	$10$	1800-1900	$6$
1600-1700	$20$	1900-2000	$2$

Cost of living index	$x_{i}$	Frequency $(f_{i})$	$f_{i} x_{i}$
1400-1500	1450	5	7250
1500-1600	1550	10	15500
1600-1700	1650	20	33000
1700-1800	1750	9	15750
1800-1900	1850	6	11100
1900-2000	1950	2	3900
		$Σ f_{i} = 52$	$Σ f_{i} x_{i} = 86500$

The weekly observations on cost of living index in a certain city for the year 2004-2005 are given below. Compute the weekly cost of living index.Cost of livingIndexNumber ofstudentsCost of livingIndexNumber of students1400-150051700-180091500-1600101800-190061600-1700201900-20002

Answer:-Cost of living indexxi Frequency(fi) fixi 1400-15001450572501500-1600155010155001600-1700165020330001700-180017509157501800-190018506111001900-2000195023900 Σfi=52 Σfixi=86500Mean =ΣfixiΣfi=8650052=1663.46The weekly cost of living index is 1663.46.