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The Monthly Income of a Group of 320 Employees in a Company is Given Below: Draw an Ogive the Given Distribution on a Graph Sheet Taking 2 Cm = Rs. 1000 on One Axis and 2 Cm = 50 Employees on the Other Axis. from the Graph Determine: - ICSE Class 10 - Mathematics

ConceptGraphical Representation of Ogives

Question

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

 Monthly Income No. of Employees 6000-7000 20 7000-8000 45 8000-9000 65 9000-10000 95 10000-11000 60 11000-12000 30 12000-13000 5

Draw an ogive the given distribution on a graph sheet taking 2 cm = Rs. 1000 on one axis and 2 cm = 50 employees on the other axis. From the graph determine:

(1) the median wage
(2) the number of employees whose income is below Rs. 8500.
(3) if the salary of a senior employee is above Rs. 11,500, find the number of senior employees in the company.
(4) the upper quartile.

Solution

 Monthly Income No. of Employees c.f. 6000-7000 20 20 7000-8000 45 65 8000-9000 65 130 9000-10000 95 225 10000-11000 60 285 11000-12000 30 315 12000-13000 5 320 Here, n = 320

1) Media  =  n/2 th term = 160 th term

From the graph, the corresponding x coordinate is 9400

median wage = 9400 approx

2) The number of employees whose income is below Rs. 8500 = 95 (approx.)

3) The number of senior employees whose salary is above Rs. 11500 = 320 – 305 = 15 (approx.)

4) The upper quartile Q_3 = ((3n)/4)^"th" term = 240 th term

From the graph, the corresponding x co-ordinate is 10,300 (approx.)

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2009-2010 (March) (with solutions)
Question 10.2 | 6.00 marks
Solution The Monthly Income of a Group of 320 Employees in a Company is Given Below: Draw an Ogive the Given Distribution on a Graph Sheet Taking 2 Cm = Rs. 1000 on One Axis and 2 Cm = 50 Employees on the Other Axis. from the Graph Determine: Concept: Graphical Representation of Ogives.
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