Given the heights of plants with fertilizer, we need to find the median height. The heights given are:
+ 30.5 cm
+ 32.1 cm
+ 40.6 cm
+ 35.5 cm
To find the median, we follow these steps:
1. Arrange the Heights in Ascending Order:
We start by sorting the given heights in ascending order:
[tex]\[
30.5 \, \text{cm}, 32.1 \, \text{cm}, 35.5 \, \text{cm}, 40.6 \, \text{cm}
\][/tex]
2. Determine the Median:
Since the number of data points is even (4 heights), the median will be the average of the two middle values. The two middle values in this ordered list are the second and third values:
[tex]\[
32.1 \, \text{cm} \, \text{and} \, 35.5 \, \text{cm}
\][/tex]
The median is calculated by averaging these two values:
[tex]\[
\text{Median} = \frac{32.1 \, \text{cm} + 35.5 \, \text{cm}}{2} = \frac{67.6 \, \text{cm}}{2} = 33.8 \, \text{cm}
\][/tex]
Thus, the median height of the plants given fertilizer is [tex]\(33.8 \, \text{cm}\)[/tex].
