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
Question
Answer:
Answer: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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