a researcher measured the height of each toddler in a study. here are their heights: find the median height…

Explanation:

Step1: Count the number of data - points

There are 8 data - points (8 dots representing the heights).

Step2: Arrange data in ascending order (already in ascending order on the number line)

The heights are 81, 82, 83, 83, 84, 84, 85, 85.

Step3: Use the formula for median of an even - numbered data set

For an even - numbered data set with $n$ data points, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered data points. Here $n = 8$, so $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$. The 4th value is 83 and the 5th value is 84. The median is $\frac{83 + 84}{2}=\frac{167}{2}=83.5$.

Answer:

83.5