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Mathematics

Use a graph paper for this question. The daily pocket expenses of 200 students in a school are given below :

Pocket expenses
(in ₹)
No. of students
(frequency)
0 - 510
5 - 1014
10 - 1528
15 - 2042
20 - 2550
25 - 3030
30 - 3514
35 - 4012

Draw a histogram representing the above distribution and estimate the mode from the graph.

Measures of Central Tendency

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Answer

Steps :

  1. Take 1 cm along x-axis = ₹5 and 1 cm along y-axis = 5 students.
  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 ₹21.50.
Use a graph paper for this question. The daily pocket expenses of 200 students in a school are given below. Draw a histogram representing the above distribution and estimate the mode from the graph. Measures of Central Tendency, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Hence, the required mode = ₹21.50.

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