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A triathlon is an endurance race consisting of swimming 3.8 km, cycling 180 km and running 42.2 km. Athletes compete for the fastest overall time, completing each segment in that order. The following table shows the finish time of 3 athletes in each segment. (i) What is a suitable representation of this data—a stacked bar chart or a 100% stacked bar chart? Why do you think so? (ii) Suppose a 100% stacked bar chart is drawn. Which of the following question(s) can be answered by looking at just that chart: (a) Who finished the race first? (b) Approximately what fraction of their race time did Athlete 1 spend cycling? (c) Which athlete took the longest for running?

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(i) A stacked bar chart is suitable because comparing total finish times determines the winner. (ii) Only question (b) can be answered, as 100% charts show proportions, not actual times.

Class 9 Ganita Manjari Chapter 10 How Quantities Combine Understanding Data solutions
Class 9 Ganita Manjari Chapter 10 Step by step solutions

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1 Answer

  1. (i) A regular stacked bar chart is much more suitable because triathlon ranking depends entirely on the absolute total time taken to complete all three segments, which total bar lengths clearly display. (ii) Only question (b) can be answered. A 100% stacked bar chart normalizes each total to 100%, showing relative proportions rather than actual elapsed times needed for questions (a) and (c).

     

    For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 10 How Quantities Combine Understanding Data Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-10/

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