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Unit 6: Measures of Central Tendency




          Solution:                                                                             Notes
          To draw ogives, we need to have a cumulative frequency distribution.
                       Class Intervals  Frequency  Less than c. f .  More than c. f .
                            0 - 500     12           12           230
                         500 -1000      18           30           218
                        1000 -1500      35           65           200
                        1500 - 2000     42          107           165
                        2000 - 2500     50          157           123
                        2500 - 3000     45          202            73
                        3000 - 3500     20          222            28
                        3500 - 4000      8          230              8
          1.   Using the less than type ogive

                                        Less  than Type  Ogive




















                        N
               The value   = 115 is marked on the vertical axis and a horizontal line is drawn from this
                        2
               point to meet the ogive at point S. Drop a perpendicular from S. The point at which this
               meets X- axis is the median.

          2.   Using both types of ogives

                                        Both Types of Ogives


























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