the following frequency table shows the number of trees each person planted at a volunteer event.\nnumber of…

the following frequency table shows the number of trees each person planted at a volunteer event.\nnumber of trees number of people\n2 1\n3 3\n4 2\n5 1\n6 1\nfind the median number of trees planted.\ntrees

the following frequency table shows the number of trees each person planted at a volunteer event.\nnumber of trees number of people\n2 1\n3 3\n4 2\n5 1\n6 1\nfind the median number of trees planted.\ntrees

Answer

Explanation:

Step1: Calculate total number of people

$1 + 3+2 + 1+1=8$

Step2: Determine position of median

Since $n = 8$ (even), the median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+ 1)$ - th ordered data values. $\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$.

Step3: Create ordered - data list

List out the data values according to frequency: 2, 3, 3, 3, 4, 4, 5, 6. The 4 - th value is 3 and the 5 - th value is 4.

Step4: Calculate the median

Median=$\frac{3 + 4}{2}=3.5$

Answer:

$3.5$