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Mathematics

For the following frequency distribution and taking suitable scales on both the axes, draw a histogram.

Class-intervalFrequency
45-608
60-756
75-9016
90-10522
105-12012
120-1354

Use the graph drawn to estimate the value of the mode.

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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 TU and VW diagonally from the upper corners T and V of adjacent rectangles.

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

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

For the following frequency distribution and taking suitable scales on both the axes, draw a histogram. Use the graph drawn to estimate the value of the mode. Model Paper 2, Concise Mathematics Solutions ICSE Class 10.

∴ Mode = 96

Hence, mode = 96.

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