Question

what is the median of the data set {30, 20, 40, 50}?
a. 30
b. 35
c. 40
d. there is no median.
please select the best answer from the choices provided
a
b
c
d

Explanation:

Step1: Arrange data in ascending order

$20, 30, 40, 50$

Step2: Determine the number of data points

There are $n = 4$ data - points. Since $n$ is even, the median is the average of the two middle - values.

Step3: Find the two middle - values

The two middle - values are the 2nd and 3rd values when the data is ordered. They are 30 and 40.

Step4: Calculate the median

Median=$\frac{30 + 40}{2}=\frac{70}{2}=35$

Answer:

B. 35