Let x be the median of the data 13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15,…
2019
Let x be the median of the data 13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14.
If 8 is replaced by 18, then the median of the data is y. What is the sum of the values of x and y?
- A.
27
- B.
28
- C.
29
- D.
30
Attempted by 10 students.
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Correct answer: C
There are 15 observations, so the median is the 8th value after arranging the data in ascending order. Original sorted data gives the 8th value as 14, so x = 14. After replacing 8 by 18, the 8th value becomes 15, so y = 15. Therefore, x + y = 14 + 15 = 29.