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P-1 Statistics — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsP-1 Statistics4 Marks
Question
Answer the following questions based on the frequency polygon given in the adjacent figure.
(1) Write frequency of the class 50-60.
(2) State the class whose frequency is 14.
(3) State the class whose class mark is 55.
(4) Write the class in which the frequency is maximum.
(5) Write the classes whose frequencies are zero.

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Answer

(1) The class marks are on the X- axis. The point whose x- coordinate is 55 (as the mid - point of the class 50-60 is 55.) y- coordinate is 10. So, the frequency of the class 50-60 is 10.
(2) The frequencies are shown on the Y-axis. The x- coordinate of the point whose y- coordinate is 14, is 25. Note the mark 14 on the Y- axis . The class mark of the class 20-30 is 25. Hence, the frequency of the class 20-30 is 14.
(3) The class mark of the class 50-60 is 55.
(4) The frequency is shown on the Y-axis. On the polygon the maximum value of the y- coordinate is 20. Its corresponding x- coordinate is 35, which is the mark of the class 30-40. Therefore, the maximum frequency is in the class 30-40.
(5) The frequencies of the classes 0-10 and 60-70 are zero.

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