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Mathematics

Draw a histogram and estimate the mode for the following frequency distribution :

ClassesFrequency
0 - 102
10 - 208
20 - 3010
30 - 405
40 - 504
50 - 603

Measures of Central Tendency

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Answer

Steps :

  1. Take 1 cm along x-axis = 10 units and 1 cm along y-axis = 2 units.
  2. Construct rectangles corresponding to the given data.
  3. In highest rectangle, draw two st. lines AC and BD from corners of the rectangles on either side of the highest rectangle to the opposite corners of the highest rectangle. Let P be the point of intersection of AC and BD.
  4. Through P, draw a vertical line to meet the x-axis at M. The abscissa of the point M represents 23.
Draw a histogram and estimate the mode for the following frequency distribution. Measures of Central Tendency, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Hence, the required mode = 23.

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