Question

michael has the following data: n 45 49 46 51 if the median is 46, which number could n be? 93 45

Explanation:

Step1: Arrange data in ascending - order

First, assume the data set with $n$ included. If $n\leq45$, the data set in ascending - order is $n,45,46,49,51$.

Step2: Calculate median for odd - numbered data set

For a set of 5 numbers (odd - numbered data set), the median is the third - numbered value when the data is arranged in ascending order. When $n\leq45$, the median is 46.
If $n = 45$, the data set is $45,45,46,49,51$ and the median is 46.
If $n = 93$, the data set in ascending order is $45,46,49,51,93$ and the median is 49.

Answer:

45