a simple random sample of 10 people was asked how many first cousins they have. the results are listed…
a simple random sample of 10 people was asked how many first cousins they have. the results are listed below.\n10, 19, 20, 13, 13, 2, 10, 8, 25, 10\nwhat is the median number of first cousins for this sample?\n7.5\n10\n11.5\n13
Answer
Explanation:
Step1: Arrange data in ascending order
$2,8,10,10,10,13,13,19,20,25$
Step2: Determine position of median
Since $n = 10$ (even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered - data values. $\frac{n}{2}=\frac{10}{2}=5$ and $\frac{n}{2}+1 = 6$.
Step3: Calculate median
The 5th value is $10$ and the 6th value is $13$. Median=$\frac{10 + 13}{2}=\frac{23}{2}=11.5$
Answer:
$11.5$