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Scores out of 100 on a college entrance examination are shown. Mark Interval Tally [30-40) [40-50) [50-60) [60-70) [70-80) Frequency [80-90) [90-100] a) Copy

 



 

Scores out of 100 on a college entrance examination are shown. Mark Interval Tally [30-40) [40-50) [50-60) [60-70) [70-80) Frequency [80-90) [90-100] a) Copy and complete the table. Display the data using a histogram. b) Place a point at the centre of the top of each bar in your histogram. Join the points with a smooth curve. c) What type of distribution does the curve represent? Explain. The three stages of a triathlon involve swimming, cycling, and running, in that order. The distances for each stage can vary. For a triathlon held in Hawaii each year, competitors swim across an ocean bay, cycle 180.2 km, and run 42.2 km. In the diagram, S is the start of the swim and F is the finish of the swim. A surveyor, at point P, used the dimensions shown to calculate the length of SF across the ocean bay. a) Find the distance the athletes swim in the Hawaiian triathlon. b) What is the total distance of the race? c) What assumptions have you made? F 3.2 km 86% 2.4 km P

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