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Mathematics

Draw histograms for the following frequency distributions :

Class markFrequency
168
2412
3215
4018
4825
5619
6410

Statistics

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Answer

Since, the difference between the values of any two consecutive class marks is 8 (24 - 16).

Therefore, subtract 82\dfrac{8}{2} = 4, from each class mark to get the lower limit of the corresponding class interval and add 4 to each class mark to get the upper limit.

Frequency distribution table :

Class markClassFrequency
1612 - 2008
2420 - 2812
3228 - 3615
4036 - 4418
4844 - 5225
5652 - 6019
6460 - 6810

Steps of construction of histogram :

  1. Since, the scale on x-axis starts at 12, a break (kink) is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 12.

  2. Take 1 cm along x-axis = 8 units.

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

  4. Construct rectangles corresponding to the above continuous frequency distribution table.

The required histogram is shown in the below figure:

Draw histograms for the following frequency distributions. Graphical Representation, Concise Mathematics Solutions ICSE Class 10.

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