b) The median of 15,17,13,19,20,33,22,18 and __ is 18.5 . Is it possible the determine the missing value?
Since 18.5 is the median of the eight numbers, the missing number must be 18.5
Yes, it is possible to determine the missing value.
To find the median, we first need to arrange the numbers in ascending order: 13, 15, 17, 18, 19, 20, 22, 33.
Since there are an odd number of values in the set, the median will be the middle value. In this case, the middle value is the 5th value, which is 19.
However, the problem states that the median must be 18.5. For this to be true, the missing value must be some value between 18 and 19. In order to determine the missing value, we need more information.
To determine the missing value, we need to understand how the median is calculated. The median is the middle value in a set of numbers when they are arranged in ascending order.
In the given set of numbers: 15, 17, 13, 19, 20, 33, 22, and 18, the median is 18.5.
To find the missing value, let's rearrange the numbers in ascending order: 13, 15, 17, 18, 19, 20, 22, 33.
Since the median is 18.5, the missing value must be between 18 and 19, and it should be the average of these two numbers.
Therefore, the missing value is 18 + 19 = 37 / 2 = 18.5.
In this case, the missing value is already provided and is the same as the given median. Therefore, there is no unique missing value that can be determined.