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A class students received the following number of books: 21, 8, 28, 13, 19, 34, 27, 14, 37, 6.
Determine the median number of books based on the data given.
  • a)
    19
  • b)
    25
  • c)
    20
  • d)
    35
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A class students received the following number of books: 21, 8, 28, 13...
Given:
Number of books 21, 8, 28, 13, 19, 34, 27, 14, 37, 6.
Formula Used:
Arrange the observations in ascending order.
1) If the number of observations (n) is odd, then the median is the middle value, which is at position [(n+1)/2].
2) If the number of observations (n) is even, then the median is the average of the two middle values.
Calculation:
Number of observations 10 (even observations)
Number of books 21, 8, 28, 13, 19, 34, 27, 14, 37, 6
Arrange in ascending order 6, 8, 13, 14, 19, 21, 27, 28, 34, 37.
∴ the median number of books based on the data given = The average of the two middle values.
⇒ Median = (19 + 21)/2 = 20.
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Most Upvoted Answer
A class students received the following number of books: 21, 8, 28, 13...
Given:
Number of books 21, 8, 28, 13, 19, 34, 27, 14, 37, 6.
Formula Used:
Arrange the observations in ascending order.
1) If the number of observations (n) is odd, then the median is the middle value, which is at position [(n+1)/2].
2) If the number of observations (n) is even, then the median is the average of the two middle values.
Calculation:
Number of observations 10 (even observations)
Number of books 21, 8, 28, 13, 19, 34, 27, 14, 37, 6
Arrange in ascending order 6, 8, 13, 14, 19, 21, 27, 28, 34, 37.
∴ the median number of books based on the data given = The average of the two middle values.
⇒ Median = (19 + 21)/2 = 20.
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Community Answer
A class students received the following number of books: 21, 8, 28, 13...
Given:
Number of books 21, 8, 28, 13, 19, 34, 27, 14, 37, 6.
Formula Used:
Arrange the observations in ascending order.
1) If the number of observations (n) is odd, then the median is the middle value, which is at position [(n+1)/2].
2) If the number of observations (n) is even, then the median is the average of the two middle values.
Calculation:
Number of observations 10 (even observations)
Number of books 21, 8, 28, 13, 19, 34, 27, 14, 37, 6
Arrange in ascending order 6, 8, 13, 14, 19, 21, 27, 28, 34, 37.
∴ the median number of books based on the data given = The average of the two middle values.
⇒ Median = (19 + 21)/2 = 20.
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A class students received the following number of books: 21, 8, 28, 13, 19, 34, 27, 14, 37, 6.Determine the median number of books based on the data given.a)19b)25c)20d)35Correct answer is option 'C'. Can you explain this answer?
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