Calculate the median of the data set below. {3, 7, 9, 2, 5, 3, 4, 6, 1, 0} a. 3 b. 3.5 c. 4 d. 10

The median of the data set is 3.5 ⇒ answer (B)

Step-by-step explanation:

* Lats talk about the median of the data

- The median is the middle value of the arranged data

- You must to arrange the data at first to find the median

- The number of data is very important when you find the median

- If the number of data odd (1 , 3 , 5 , 7 , ), then the median

 will be the middle one of the data

* Ex: if the number of data is 13, then the median will be the 7th on

∵ 13 ÷ 2 = 6.5, then there are 6 numbers before and 6 number after

∴ The median is the 7th one

- If the number of data even (2 , 4 , 6 , 8 , ), then there is no

 middle on, we will find two numbers on the middle.

 So we take the average of them

* Ex: if the number of data is 12, then the median will be the

        average of the  6th and 7th numbers

* Lets use this conditions in our problem

- The data are 3 , 7 , 9 , 2 , 5 , 3 , 4 , 6 , 1 , 0

- At first arrange the data

* 0 , 1 , 2 , 3 , 3 , 4 , 5 , 6 , 7 , 9

- The number of data is 10

∵ 10 ÷ 2 = 5

∴ The median will be the average of the 5th and 6th numbers

∵ The 5th number is 3 and the 6th number is 4

∴ The median = (3 + 4)/2 = 3.5

* The median of the data set is 3.5

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step-by-step explanation:

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