Question

find the median of 45,49,46,44,38,37,55,61​

Answer 1

Answer:

41

Step-by-step explanation:

median of 2n terms is average of nth term and n+1 th term

Here the number of terms are 8 =2(4)

THEREFORE n=4

so median is average of 4th and 5th term

4th term=44

5th term =38

Average of 4th and 5th term that is average of 44 and 38

$\frac{44 + 38}{2} = \frac{82}{2} = 41$

so average of 44 and 38 is 41

THEREFORE YOUR ANSWER IS 41.

I HOPE YOU ARE SATISFIED BY MY ANSWER.

Answer 2

Answer:

The median of the above data will be 45.5.

Step-by-step explanation:

Given: $45,49,46,44,38,37,55,61$

We have to find the median of the above data.

• As we know that, the median is the middle number in a sorted list of numbers.
• So, to find the median, we need to place the numbers in value order and find the middle number.

We are solving in the following way:

We have,

$45,49,46,44,38,37,55,61$

Ordering the data from least to greatest, we get:

$37 , 38, 44 , 45 , 46 , 49 , 55 , 61$

As we can see, we do not have just one middle number, but we have a pair of middle numbers, so the median is the average of these two numbers:

$\text { Median }=\frac{45+46}{2}\\\\=>\frac{91}{2} \\\\=>45.5$