The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x+2, 72, 78, 84, 95
Answers
Given : Observations have been arranged in ascending order :
29, 32, 48, 50, x, x+2, 72, 78, 84, 95
Median of the data is 63.
Number of observations, (n) = 10 (even)
Median = ½[value of (n/2)th + (n/2 +1)th observations]
63 = ½ [value of (10/2 th + (10/2 + 1 th) observations]
63 = ½ [value of (5th + 6th) observations]
63 = ½ (x + x + 2)
63 × 2 = 2x + 2
126 = 2x + 2
2x = 126 - 2
2x = 124
x = 124/2
x = 62
Hence, the value of x is 62.
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Given : Observations have been arranged in ascending order =29, 32, 48, 50, x, x+2, 72, 78, 84, 95
- Median of the data is 63.
Number of observations = 10 (even)
Formula used:
Median = ½[value of (n/2)th + (n/2 +1)th observations]
63 = ½ [value of (10/2 th + (10/2 + 1 th) observations]
63 = ½ [value of (5th + 6th) observations]
63 = ½ (x + x + 2)
63 × 2 = 2x + 2
126 = 2x + 2
2x = 126 - 2
2x = 124
x = 124/2
x = 62