find the median of each of the following. 8, 7, 9, 12, 8, 17, 15, 10
Answers
Step-by-step explanation:
Ans:9.5
7,8,8,9,10,12,15,17,
formula {n+1/2}
9+10/2=9.5
sry
Answer:
HERE IS UR ANSWER
STEP BY STEP EXPLANATION:
ARRANGE THE GIVEN DATA IN ASCENDING ORDER
7,8,8,9,10,12,15,17
THE FORMULA FOR FINDING MEDIAN OF EVEN NUMBERS IS
\frac{n}{2} + \frac{n + 1}{2} {}^{th \: } observtion2n+2n+1thobservtion
HERE n= no. of terms in the observation
= \frac{8}{2} + \frac{8 + 1}{2} {}^{th} observation=28+28+1thobservation
= \frac{4 + (4 + 1)}{2}=24+(4+1)
= \frac{4 + 5 {}^{th } }{2}=24+5th
HERE 4TH OBSERVATION IS '9'
WHILE 5TH OBSERVATION IS '10'
\begin{gathered}hence \\ \\ \frac{9 + 10}{2} \\ \\ = \frac{19}{2} \\ \\ = 9.5 \\ \\ therefore \: the \: median \: of \: the \: above \\ observation \: is \: 9.5\end{gathered}hence29+10=219=9.5thereforethemedianoftheaboveobservationis9.5
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