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. 10, 19, 20, 13, 13, 2, 10, 8, 25, 10 what is the median number of first cousins for this sample? 7.5 10 11.5 13

a simple random sample of 10 people was asked how many first cousins they have. the results are listed below. 10, 19, 20, 13, 13, 2, 10, 8, 25, 10 what is the median number of first cousins for this sample? 7.5 10 11.5 13

Answer

Explanation:

Step1: Arrange data in ascending order

2, 8, 10, 10, 10, 13, 13, 19, 20, 25

Step2: Determine position for median

Since $n = 10$ (even number of data - points), 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 5 - th value is 10 and the 6 - th value is 13. Median=$\frac{10 + 13}{2}=\frac{23}{2}=11.5$

Answer:

11.5