Question

A sample of single persons receiving social security payments revealed these monthly benefits: $826, $699, $1,087, $880, $839, and $965. how many observations are below the median?

Answer 1

Answer: 3

Explanation:

To find out how many observations are below the median, you first need to arrange the data in ascending order:

$699, $826, $839, $880, $965, $1,087

Now, calculate the median, which is the middle value in this ordered list. In this case, there are six data points, so the median is the average of the two middle values:

Median = ($839 + $880) / 2 = $1,719 / 2 = $859.50

Now, count how many observations are below this median value. In this case, three observations are below the median ($699, $826, and $839), so the answer is 3

Answer 2

The median is the number in the middle of a sorted list.

So we need to arrange the given numbers, $699, $826, $839, $880, $965, $1,087.

Since the givenhas 6 numbers, finding the median will be the average of the two numbers in the middle. $839 + $880 = 1719 then divide this by 2 = 859.5

So there are 3 numbers that are below the median and these are $699, $826, and $839.