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The given graph with a histogram represents the number of plants of different heights grown in a school campus. Study the graph carefully and answer the following questions - Mathematics

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Question

The given graph with a histogram represents the number of plants of different heights grown in a school campus. Study the graph carefully and answer the following questions:

  1. Make a frequency table with respect to the class boundaries and their corresponding frequencies.
  2. State the modal class.
  3. Identify and note down the mode of the distribution.
  4. Find the number of plants whose height range is between 80 cm to 90 cm.
Graph

Solution


  1. CI. Frequency
    30 – 40 4
    40 – 50 2
    50 – 60 8
    60 – 70 12
    70 – 80 6
    80 – 90 3
    90 – 100 4
  2. Here, modal class is 60 – 70, with highest frequency of 12.
  3. From the given graph the mode of the distribution is 64.
  4. The number of plants whose height range is between 80 cm to 90 cm is 3.
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