Question

question 2 (1 point)
aids data indicating the number of months a patient with aids lives after taking a new antibody drug are as follows (smallest to largest):
3, 5, 6, 6, 10, 10, 14, 15
calculate the median.
your answer:
answer

Explanation:

Step1: Count the number of data points

There are \(n = 8\) data points (\(3,5,6,6,10,10,14,15\)).

Step2: Use the median formula for even \(n\)

For \(n\) even, median \(M=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}\). Here \(\frac{n}{2}=\frac{8}{2} = 4\) and \(\frac{n}{2}+1=5\).
\(x_4 = 6\) and \(x_5=10\)

$$M=\frac{6 + 10}{2}$$

Step3: Calculate the value

$$M=\frac{16}{2}=8$$

Answer:

\(8\)