Bunuel wrote:
\( \{a_1, \ a_2, \ a_3, \ ..., \a_n\}\)
In the list of n numbers shown above\( a_1 < a_2 < a_3 < ... <a_{n}\) . Each of the followingcould change the median of the list EXCEPT:
A. Dividing\(a_n\) by 2
B. Taking the square root of\(a_1\)
C. Squaring\(a_n\)
D. Doubling\(a_n\)
E. Increasing\(a_n\) by20
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Analysing each option:
A. Dividing the largest number by 2
This can obviously change the median, it is entirely possible that the new number that comes up is smaller than the previous median but larger than the one that came before it, in case n is odd, if n were even, there again is a possibility that there'll be a new average of the middle two terms rearranged after the division.
B. Taking the square root of the first term.
This might not seem obvious, but taking the square root of the first term might not necessarily decrease it, e.g. square root of 0.25 is 0.5, and as long as the smallest number has the capacity to increase, it also has the capacity to alter the median in some possible
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Statistics : Posted by 0ExtraTerrestrial • on 10 Jul 2024, 07:00 • Replies 65 • Views 791