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Answer :

Akposevictorgo

In a data set having N as 28, and the 14th and 15th cases are given as 17 and 19 respectively, the value of the median is: 18.

Recall:

  • Median of a group of data set is simply the middle data value in the data set.
  • In a data set where the total number of data values in the data set is an even number, the average of the two middle values would be the median.

Given that:

  • Total number of data values (N) = 28 ==> even number
  • The median would be the average of the two middle data values.

Thus:

The two middle values would be the 14th and 15th cases.

  • The 14th case or data value is given as 17
  • The 15th case or data value is given as 19

  • Therefore:

[tex]Median = \frac{17 + 19}{2} = 18[/tex]

Thus, in a data set having N as 28, and the 14th and 15th cases are given as 17 and 19 respectively, the value of the median is: 18.

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