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) The histogram above shows the distribution of the heights, in meters, of 26 pyramids in Egypt. Which of the following could be the median height of the 26 pyramids represented in the histogram? A) 44 meters B) 48 meters C) 63 meters D) 77 meters​

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The most likely value of the median height in the distribution is 48 meters based on the choices in the options given.

The total number of observations in the distribution, n = 26

  • Class interval _ Frequency _ cumm/Frequency
  • 15- 30 _________ 2 _________ 2
  • 30 - 45 ________ 3 _________ 5
  • 45 - 60________ 12 _________17
  • 60 - 75 ________ 4 _________21
  • 75 - 90 ________ 1 _________22
  • 90 - 105 ________2 ________ 24
  • 105 - 120 _______ 0 ________ 24
  • 120 - 135 _______0 _________24
  • 135 - 150 _______2 _________26

The median value of the distribution can be calculated thus :

  • 1/2(n+1)th term

  • 0.5(27) = 13.5th term

  • This means the median will lie inbetween 13 and 14th terms in the distribution.

  • From the Cummulative frequency column, the 13th and 14th terms falls in the 45 - 60 class interval

  • Therefore, the median value should be within the Interval 45 - 60

Therefore, only 48 falls within that interval from the options given, hence, it is the most probable value of the median.

Learn more :https://brainly.com/question/300591

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