10th Class Mathematics Sample Paper Sample Paper - 2 Term - 1

  • question_answer
      Following distribution shows the marks obtained by 100 students in a class.
    Marks 10-20 30-30 30-40 40-50 50-60 60-70
    Frequency 10 15 30 32 8 5
    Draw a less than gave for the given data and hence obtain the median marks from the graph.

    Answer:

                   
    Marks Number of students(f)
    10-20 20-30 30-40 40-50 50-60 60-70 10 15 30 32 8 5
    Total
    Marks Number of students(f)
    Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 10 25 55 87 95 100
    (1) Now, plot the points (20,10), (30, 25), (40, 55), (50, 87), (60, 95), (70, 100). Total number of students =100            students In order to find the median, we first locate the point corresponding to  student on V-axis. Let the point be P from this point draw a line parallel to the X-axis cutting the curve at Q. From this point Q, draw  line parallel to Y-axis and meeting .Y-axis at the point M The X-axis coordinate of At is 383. Hence, the required median is 38.3.             (1)


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