Respuesta :

Step-by-step explanation:

The first step to finding the median is to sort the numbers from small to large.

3, 7, 17, 19, 20, 21, 31, 43, 46

then you find the middle number, equal numbers on other sides.

20 is in the middle because that leaves 4 on each side.

The median value of the given set of numbers: 21, 3, 7, 17, 19, 31, 46, 20, and 43 is 20 as 20 is the middle value of the given set in ascending order.

Median can be explained as:

  • The middle value is among a series of values after being arranged in numerical order or ascending order.
  • The middle of the set of values.
  • In the case of even numbers found in middle for example in the case of a set of 6 values fall in the middle, then add the values of those two numbers and divide by 2 to get the middle of the two numbers or [tex]\frac{(\frac{n}{2} )th + (\frac{n+1}{2})th}{2}[/tex]
  • in case of odd numbers: [tex]{\frac{n+1}{2} }th[/tex]

Solution:

In the given set all numbers are already arranged in ascending order and then find the median:

1, 3, 7, 17, 19, 31, 46, 20, 43.

[tex]\frac{5+1}{2}th[/tex] = 3rd value

There are 5 numbers on the series and only one fall in the middle on counting both the side is 3rd = 20

or by the formula: [tex]\frac{5+1}{2}th[/tex] = 3rd value

Thus, the correct answer is: 20

Learn more about median by example:

https://brainly.com/question/1157284

Ver imagen Histrionicus