1 answer:
Answer:
increase
Step-by-step explanation:
Given data is: 71, 67, 67, 17, 69, 84, 21, 87
Arranging in ascending order we find: 17, 21, 67, 67, 69, 71, 84, 87
4th term = 67, 5th term = 69
-> median = Sum of 4th and 5th term/2 = (67 + 69)/2 = 132/2 = 66
Now, when one of the 67 is replaced by 71, the new data set in ascending order will be: 17, 21, 67, 69, 71, 71, 84, 87
Here, 4th term = 69, 5th term = 71
New median = (69 + 71)/2 = 140/2 = 70
- > new median > initial median
CONCLUSION : Median will increase if the number 71 replaced one of the 67's in the set.
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