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Lorenz Curve

The distribut...

Question

The distribution of hourly income and the number of employees in a company is given below. Identify the Lorenz curve corresponding to the given distribution.

$\begin{matrix} I n c o m e & 300 & 500 & 600 & 800 & 1200 & 1600 N o . o f e m p l o y e e s & 15 & 25 & 30 & 15 & 8 & 7 \end{matrix}$

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Solution

The correct option is A
$\begin{matrix} I n c o m e & C u m u l a t i v e & C u m u l a t i v e % & F r e q u e n c y & C u m u l a t i v e & C u m u l a t i v e % 300 & 300 & 6 & 15 & 15 & 15 500 & 800 & 16 & 25 & 40 & 40 600 & 1400 & 28 & 30 & 70 & 70 800 & 2200 & 44 & 15 & 85 & 85 1200 & 3400 & 68 & 8 & 93 & 93 1600 & 5000 & 100 & 7 & 100 & 100 \end{matrix}$

The graph corresponding to this is given in (a).

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Similar questions

The monthly income of a group of 320 employees in a company is given below:

Monthly income	6000-7000	7000-8000	8000-9000	9000-10000	10000-11000	11000-12000	12000-13000
No of employees	20	45	65	95	60	30	5

Calculate:

(i) Median wage

(ii) Number of employees whose income is below Rs. 8500

(iii) Number of senior employees in the company

(iv) Upper quartile

[4 MARKS]

\begin{matrix} Income(in~Rs) & 1 - 200 & 201 - 400 & 401 - 600 & 601 - 800 Number of employees & 14 & 15 & 14 & 7 \end{matrix}

The monthly income of a group of 320 employees in a company is as follows :

Monthly income (in Rs.1000) 6 – 7 7 – 8 8 – 9 9 – 10 10 – 11 11 – 12 12 – 13

Number of employees 20 45 65 95 60 30 5

Draw an ogive for the given distribution taking 2cm = Rs.1000 on one axis & 2cm = 50 employees on the other axis. Using the graph determine:

$ 500

25

$ 800

$ 600

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