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Answer:

Step-by-step explanation:

To find the median, arrange the data in ascending order

10,20,30,40,50,60,70,80,90

Number of data = 9 . It is a odd number

So, median will be the (n+1)/2 th term

[tex]\left(\dfrac{9+1}{2} \right)^{th \ term} = (\dfrac{10}{2})^{th \ term} = 5^{th \ term}[/tex]

Median =  50

Solution:

Step-1: Re-arrange the following data from biggest to smallest.

  • 30, 10, 40, 20, 60, 50, 80, 70, 90
  • => 90, 80, 70, 60, 50, 40, 30, 20, 10

Step-2: Refer to the following:

    1. If there is an even number of digits, you will use the formula:

  • (Total number of digits)/2

    2. If there is an odd number of digits, you will use the formula:

  • (Total number of digits + 1)/2

Step-3: Find the median:

If we count the number of digits in the data, we can say that nine numbers are in this data. Thus, we will use the formula "(Total number of digits + 1)/2"

  • => (Total number of digits + 1)/2 term
  • => (9 + 1)/2 term
  • => 10/2 term
  • => 5th term

The fifth term of the group is the median.

Step-4: Review the "biggest to smallest" data.

  • 90, 80, 70, 60, 50, 40, 30, 20, 10

Since 50 is the 5th term, the median is 50.

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