Questions
If the mean of the squares of first n natural numbers is 105, then the median of first n natural number is
a
8
b
9
c
10
d
11
detailed solution
Correct option is B
We have,12+22+…+n2n=105⇒(n+1)(2n+1)6=105⇒2n2+3n−629=0⇒(2n+37)(n−17)=0⇒n=17Thus, given numbers are 1,2,3,4,…,16,17Clearly, 9 is their median.Talk to our academic expert!
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The median of a set of a observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the
median of the new set is
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