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Mathematics

The daily wages in a factory are distributed as follows :

Daily wages (in ₹)125 - 175175 - 225225 - 275275 - 325325 - 375
Number of workers42022106

Draw a frequency polygon for this distribution.

Statistics

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Answer

Daily wages (in ₹)No. of workersClass marks
75 - 125075+1252=100\dfrac{75 + 125}{2} = 100
125 - 1754125+1752=150\dfrac{125 + 175}{2} = 150
175 - 22520175+2252=200\dfrac{175 + 225}{2} = 200
225 - 27522225+2752=250\dfrac{225 + 275}{2} = 250
275 - 32510275+3252=300\dfrac{275 + 325}{2} = 300
325 - 3756325+3752=350\dfrac{325 + 375}{2} = 350
375 - 4250375+4252=400\dfrac{375 + 425}{2} = 400

Steps:

  1. Find the class-mark (mid-value) of each given class-interval.

    Class-mark mid-value = Upper limit + Lower limit2\dfrac{\text{Upper limit + Lower limit}}{2}

  2. On a graph paper, mark class-marks along x-axis and frequencies along y-axis.

  3. On this graph paper, mark points taking values of class-marks along x-axis and the values of their corresponding frequencies along y-axis.

  4. Draw line segments joining the consecutive points marked in step (3) above.

The daily wages in a factory are distributed as follows : Statistics, Concise Mathematics Solutions ICSE Class 9.

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