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Question

find the mods and median of 5,6,9,13,6,5,6,7,6,6,3

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Solution

Dear student,

We have,

5, 6, 9, 13, 6, 5, 6, 7, 6, 6, 3

rewrite the list in the increasing order

we get,

3, 5, 5, 6, 6, 6, 6, 6, 7, 9, 13

The median is the middle value,

There are 11 numbers in the list


So Median=open parentheses fraction numerator n plus 1 over denominator 2 end fraction close parentheses to the power of t h end exponent space t e r m

where n=11 here

So. median=

fraction numerator 11 plus 1 over denominator 2 end fraction equals 12 over 2

=6th term

6th term is =6 here

So median=6

The mode is the number that is repeated more often than any other, since 6 repeated 5 times

6 is the mode.



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