The median of the following data: 0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6 is
A. 0
B. -1.5
C. 2
D. 3.5
Answers
Given : Observations -: 0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6
Arranging given numbers in ascending order
-3, -3, -1, 0, 2, 2, 2, 5, 5, 5, 5, 6, 6,
Number of observations, (n) = 14 (even)
Median = ½[value of (n/2)th + (n/2 +1)th observations]
Median = ½ [value of (14/2 th + (14/2 + 1 th) observations]
Median = ½ [value of (7th + 8th) observations]
Median = (2 + 5)/2
Median = 7/2 th
Median = 3.5
Hence, the median of the given data is 3.5.
Option (D) 3.5 is correct.
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Given : Observations -: 0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6
Arranging given numbers in ascending order
-3, -3, -1, 0, 2, 2, 2, 5, 5, 5, 5, 6, 6,
Number of observations, (n) = 14 (even)
Median = ½[value of (n/2)th + (n/2 +1)th observations]
Median = ½ [value of (14/2 th + (14/2 + 1 th) observations]
Median = ½ [value of (7th + 8th) observations]
Median = (2 + 5)/2
Median = 7/2 th
Median = 3.5
Hence, the median of the given data is 3.5.
Option (D) 3.5 is correct.
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