8. The median of 8 numbers is 4.5. Given that seven
of the numbers are 9, 2, 3, 4, 12, 13 and 1, find the
eighth number.
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Answer: The eighth number is 5
Step-by-step explanation:
Let the 8th term be x:
Data: 9, 2, 3, 4, 12, 13, 1, x
- Arrange in ascending order: (missing value is after 4)
1, 2, 3, 4, x , 9, 12, 13
Now, formula:
Median = [(n/2) term + (n/2 + 1) term]/2
Median = (4th term + 5th term)/2
Median = (4 + x)/2
4.5 = (4+x)/2
9 = 4+x
x = 5
∴ The eighth number is 5
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