Draw a Lorenz curve from the data given below Income - 100 - 200 - 400 - 500 - 800Whline

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Standard XI

Statistics

Lorenz Curve

Draw a Lorenz...

Question

Draw a Lorenz curve from the data given below

$\begin{matrix} Income & 100 & 200 & 400 & 500 & 800 Number of Persons & 80 & 70 & 50 & 30 & 20 \end{matrix}$

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Solution

$\begin{matrix} Income & Cumulative Income & Cumulative Income (in %) & Number of Persons & Cumulative frequency & Cumulative Frequency (%) 100 & 100 & 5 & 80 & 80 & 32 200 & 300 & 15 & 70 & 150 & 60 400 & 700 & 35 & 50 & 200 & 80 500 & 1200 & 60 & 30 & 230 & 92 800 & 2000 & 100 & 20 & 250 & 100 \end{matrix}$

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Q. The given table shows the daily income of workers of two factories. Draw the Lorenz Curves for both the factories.

Daily Income (₹)	0−100	100−200	200−300	300−400	400−500
Factory A	8	7	5	3	2
Factory B	15	6	2	1	1

Q. Calculate the mode for the following data

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Workers	$12$	$23$	$45$	$50$	$30$	$12$

Calculate the average daily income of the following data about men working in a company

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Q. 9. Income per 0-100 100-200 200-300 300-400 400-500 500-600 600-700 700-800day inNumber 4 8of persons104

From the following table giving data regarding income of persons, draw a Lorenz curve.

$\begin{matrix} Wages (Rs) & Persons 0 - 5, 000 & 5 5, 000 - 10, 000 & 10 10, 000 - 20, 000 & 18 20, 000 - 40, 000 & 10 40, 000 - 50, 000 & 7 \end{matrix}$

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Draw a Lorenz curve from the data given below Income100200400500800Number of Persons8070503020

IncomeCumulative IncomeCumulative Income (in %)Number of PersonsCumulative frequencyCumulative Frequency (%)10010058080322003001570150604007003550200805001200603023092800200010020250100

Draw a Lorenz curve from the data given below

$\begin{matrix} Income & 100 & 200 & 400 & 500 & 800 Number of Persons & 80 & 70 & 50 & 30 & 20 \end{matrix}$