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The daily maximum temperature (in °C) at a station for 15 days was 31, 34, 29, 36, 33, 30, 38, 35, 32, 37, 33, 31, 39, 34, 30. A grouped table is built with the classes 28–31, 31–34, 34–37 and 37–40, a value equal to an upper limit being placed in the next class. Which class has the highest frequency?

Competition practiceData & Probability
  • A28–31
  • B34–37
  • C31–34
  • D37–40

Step-by-Step Solution

A value equal to an upper limit moves to the next class, so 31 belongs to 31–34 and 34 belongs to 34–37. Tallying gives 28–31: 29, 30, 30 (3 days); 31–34: 31, 31, 32, 33, 33 (5 days); 34–37: 34, 34, 35, 36 (4 days); 37–40: 37, 38, 39 (3 days), fifteen days in all. The largest frequency, 5, belongs to 31–34.
Answer: C) 31–34

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