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The grain sizes (in μm) measured at five locations in an alloy sample are: 16, 14, 18, 15 and 13. The mean, median and standard deviation of grain sizes respectively are (in μm)
  • a)
    15.2, 15 and 1.7
  • b)
    15.2, 15 and 1.9
  • c)
    15.8, 15 and 1.9
  • d)
    15.2, 16 and 1.7
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The grain sizes (in μm) measured at five locations in an alloy samp...
Micrometers) of a sediment sample are as follows: 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, and 180.

The phi scale is a logarithmic scale used to measure grain size in sedimentology. It is defined as:

phi = -log2(diameter in millimeters)

Using this scale, the grain sizes in phi units would be:

phi = 2.32, 2.22, 2.12, 2.02, 1.91, 1.81, 1.71, 1.61, 1.51, 1.41, 1.30, 1.20, 1.10, 1.00, 0.89, 0.79, and 0.69.

Note that smaller grain sizes correspond to larger phi values, since the logarithm function is inverted. For example, a grain size with a diameter of 1 mm would have a phi value of 0, while a grain size with a diameter of 0.125 mm (i.e. 125 micrometers) would have a phi value of 3.

The phi scale is useful because it allows for a wide range of grain sizes to be expressed on a single scale, and because it emphasizes the relative differences between grain sizes rather than the absolute values. For example, a change in one phi unit represents a doubling or halving of the grain size, regardless of the starting point.
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The grain sizes (in μm) measured at five locations in an alloy sample are: 16, 14, 18, 15 and 13. The mean, median and standard deviation of grain sizes respectively are (in μm)a)15.2, 15 and 1.7b)15.2, 15 and 1.9c)15.8, 15 and 1.9d)15.2, 16 and 1.7Correct answer is option 'B'. Can you explain this answer?
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The grain sizes (in μm) measured at five locations in an alloy sample are: 16, 14, 18, 15 and 13. The mean, median and standard deviation of grain sizes respectively are (in μm)a)15.2, 15 and 1.7b)15.2, 15 and 1.9c)15.8, 15 and 1.9d)15.2, 16 and 1.7Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The grain sizes (in μm) measured at five locations in an alloy sample are: 16, 14, 18, 15 and 13. The mean, median and standard deviation of grain sizes respectively are (in μm)a)15.2, 15 and 1.7b)15.2, 15 and 1.9c)15.8, 15 and 1.9d)15.2, 16 and 1.7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The grain sizes (in μm) measured at five locations in an alloy sample are: 16, 14, 18, 15 and 13. The mean, median and standard deviation of grain sizes respectively are (in μm)a)15.2, 15 and 1.7b)15.2, 15 and 1.9c)15.8, 15 and 1.9d)15.2, 16 and 1.7Correct answer is option 'B'. Can you explain this answer?.
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