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SAI International School
                                                       CLASS - X

               Mathematics
               CHAPTER-14: Statistics

               HOME ASSIGNMENT-4



               SUBTOPIC : Ogives (Graphical Representation of Cumulative
               Frequency Distribution


               1.The annual profits earned by 30 shops of a shopping complex in a locality give rise to the
               following distribution:-


                    Profit(in   ≥  5        ≥  10      ≥  15      ≥  20      ≥  25       ≥  30      ≥  35
                    lakhs Rs)

                    No. of           30          28         16         14         10          7          3
                    shops


                    Draw cumulative frequency curve of more than type. Find the Median by actual
                    calculation.

               2.Write the empirical relationship between the three measures of central tendency, namely,
               Mean, Mode and Median.



               3. The following distribution gives the daily wages of 50 workers of a factory.
                        Daily       20 - 40    40 - 60   60 - 80    80 - 100   100 -     120 -      140 -
                        wages(in                                              120        140        160
                        Rs)
                        No. of           4         6         10         16        12         7          3
                        workers

                        Convert the above distribution into a less than type cumulative frequency distribution .
                        Draw its Ogive and find the median.
               4.Draw a Less than  Ogive for the following data and find its median from the ogive and
               calculate the median by using formula also.

                        Marks     Less    Less     Less    Less    Less     Less    Less    Less     Less

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