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Mathematics

The following table shows the marks obtained (out of 100) by different students of class X.

MarksNo. of students
50-608
60-7016
70-8028
80-9038
90-10010

Taking suitable scales on both the axes, draw a histogram and use it to estimate mode.

Statistics

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Answer

Steps :

  1. Draw a histogram of the given distribution.

  2. In side the highest rectangle, which represent the maximum frequency (or modal class), draw two lines KN and IL diagonally from the upper corners N and I of adjacent rectangles.

  3. Through the point Q (the point of intersection of diagonals), draw QR perpendicular to horizontal axis.

  4. The value of point R on the horizontal axis represents the value of mode.

∴ Mode = 82.5

The following table shows the marks obtained (out of 100) by different students of class X. Taking suitable scales on both the axes, draw a histogram and use it to estimate mode. Model Paper 1, Concise Mathematics Solutions ICSE Class 10.

Hence, mode = 82.5

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