The collection of numbers which comprise the data given below is arranged in ascending order. (3,7,9, N - 1,15,18,19,20) . If the median of the data is 12.5, what is the value of N?Question 1Answera.10.5b.11.5c.11d.12
Question
The collection of numbers which comprise the data given below is arranged in ascending order. (3,7,9, N - 1,15,18,19,20) . If the median of the data is 12.5, what is the value of N?Question 1Answera.10.5b.11.5c.11d.12
Solution
The median is the middle value of a set of numbers. In this case, the median is given as 12.5.
Since there are 8 numbers in the set, the median would be the average of the 4th and 5th numbers when arranged in ascending order.
The 4th number is N - 1 and the 5th number is 15.
So, (N - 1 + 15) / 2 = 12.5
Solving this equation for N gives N = 10.5
So, the value of N is 10.5 (Option a).
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