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Question

Median of the following dataset is _____.

-5 , -15 , -10 , -2 , -4  , -2 ,  -17 , -1
  1. 4.5
  2. -5
  3. -4
  4. - 4.5


Solution

The correct option is D - 4.5

Median refers to the value which lies in the middle of the data when arranged in an increasing or decreasing order.

Arranging the data in ascending order:  -17 , -15 , -10 ,  -5 ,  -4 , -2 , -2 , -1               

Since no. of observations is 8, an even number, there will be two middle terms. So, the median will be the average of (82)th and the (82+1)th terms. 
Median will be the average of the 4th and 5th terms, which are -5 and -4 respectively.

So, median equals (5)+(4)2=92=4.5. 

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