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Complete the table for marks and draw a cumulative frequency curve (ogive).

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps
  1. Complete the table.

    The table provided in the image is already complete with the frequencies and cumulative frequencies. The missing frequencies for the 30-39 and 50-59 classes were 10 and 20 respectively, which are filled in the image.

    Here is the completed table:

    MarksFrequencyMark less thanCf0−949.5410−19719.51120−29529.51630−391039.52640−491349.53950−592059.55960−691569.57470−791379.58780−89589.59290−99199.593\begin{array}{|c|c|c|c|} \hline \text{Marks} & \text{Frequency} & \text{Mark less than} & \text{Cf} \\ \hline 0-9 & 4 & 9.5 & 4 \\ 10-19 & 7 & 19.5 & 11 \\ 20-29 & 5 & 29.5 & 16 \\ 30-39 & 10 & 39.5 & 26 \\ 40-49 & 13 & 49.5 & 39 \\ 50-59 & 20 & 59.5 & 59 \\ 60-69 & 15 & 69.5 & 74 \\ 70-79 & 13 & 79.5 & 87 \\ 80-89 & 5 & 89.5 & 92 \\ 90-99 & 1 & 99.5 & 93 \\ \hline \end{array}
  2. Draw a Cumulative Frequency Curve (Ogive).

    To draw the cumulative frequency curve, plot the upper class boundaries (from the "Mark less than" column) against their corresponding cumulative frequencies (from the "Cf" column).
    The points to plot are:
    (−0.5,0)(-0.5, 0), (9.5,4)(9.5, 4), (19.5,11)(19.5, 11), (29.5,16)(29.5, 16), (39.5,26)(39.5, 26), $(49.

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