I had this question to solve how ever I am really confused on how to determine that the 60th and 61st position have values of 7, like how to I make the second chart in the picture with position numbers and scores?

@v Example 5 Determine the median for the population test scores below: Test Score: 4 5 6 7 8 9 1O # of students: 3 17 24 45 21 9 1 Notice, in this question, the data is grouped by value. However, the process is the same. As given, the test scores are arranged in order of magnitude. If we sum the number of students, we see that N = if = 120. So, we can use the formula: N+1 7 x 100 C ) 120+1 100 121 =_ 50 100( ) =60.5 Position number of PH within an arrayf = (50) Position number of P53 within an arrav = Thus, the value of the median is at position 60.5. In order to find the value of the 60m position, and the 61" position examine the given data. The data could be re- written as follows: Position #: 1 2 3 4 5 20 21 60 61 120 Score: 4 4 4 5 5 5 6 7 7 10 From the table, we see that position 60 has a value of 7 and position 61 also has a value of 7. We can then determine the median as follows: P50 = 60* position + 0.5(61St position - 60'h pos'tion) = 7 + 0. 5(7 7) = 7 Thus, the population median test score is 7