Question

Find the median from following data , 105,115,125,135,145,155,165,175

Answer 1

Answer:140

Step-by-step explanation:

Remove each number from both sides.

Then we have 135,145..

(135+145)÷2=140

Answer 2

The median is 140.

Step-by-step explanation:

The set of values is: {105,115,125,135,145,155,165,175}

The set consists of 8 values.

The median of an even set of numbers is the mean of the middle two values.

Arrange the data in ascending order as follows:

105 , 115 , 125 , 135 , 145 , 155 , 165 , 175

The middle two values that is, 4th and 5th value are, 135 and 145.

Compute the mean of the 4th and 5th value as follows:

$Median=\frac{4^{th}+5^{th}}{2}=\frac{135+145}{2}=\frac{280}{2}=140$

Thus, the median is 140.