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Mathematics

Draw an ogive for the following frequency distribution :

Height (in cm)No. of students
150 - 1608
160 - 1703
170 - 1804
180 - 19010
190 - 2002

Measures of Central Tendency

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Answer

To draw an ogive :

  1. The cumulative frequency table for the given continuous distribution is :
Height (in cm)No. of studentsCumulative frequency
150 - 16088
160 - 170311
170 - 180415
180 - 1901025
190 - 200227
  1. Since, the scale on x-axis starts at 150, a kink is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 150.

  2. Take 2 cm along x-axis = 10 cm (height)

  3. Take 1 cm along y-axis = 5 students

Draw an ogive for the following frequency distribution. Measures of Central Tendency, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.
  1. Plot the points (160, 8), (170, 11), (180, 15), (190, 25), (200, 27) representing upper class limits and the respective cumulative frequencies.
    Also plot the point representing lower limit of the first class i.e. 150 - 160.

  2. Join these points by a freehand drawing.

The required ogive is shown in figure above.

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