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(1) Construct a bar chart next to the 1978 data to show the relationship between frequency and data. Give it the title '1978 Birthdays in the USA - whole year' (The data in the white colums is more Excel - friendly for this.) (2) Choose any month and fit a periodic curve to its distribution. Can you find a shortcut for finding the amplitude, period and vertical translation? (you may find the horizontal translation by experimentation) (3) Share your results with colleagues so that you can build up a complete picture of the distribution of the birthdays, month by month. This is a nice class activity - you can print out each month and paste them together so that your graph shows the 1978 birthdays in detail. (4) Are all the birthdays equiprobable? (5) Describe the patterns in the shape of the graph. (6) Explain the reasons for these patterns. 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