Answer:
The Median is : 36
The Mode is : Undefined
Explanation:
To find the median of a set of numbers, we need to arrange the numbers in order from least to greatest (or greatest to least) and then identify the middle number. If there is an even number of values, we take the average of the two middle numbers.
First, let's arrange the given numbers in ascending order:
13, 16, 31, 41, 45, 49
We have six numbers in this set, and since there is an even number of values, we need to take the average of the two middle numbers, which are 31 and 41.
Therefore, the median of the given set of numbers is:
(31 + 41)/2 = 72/2 = 36
----------------------------------------------------------------------------------------------------------
To find the mode of a set of numbers, we look for the number that appears most frequently. In the given set of numbers:
41, 13, 49, 45, 31, 16
None of the numbers appear more than once, so there is no mode in this set of numbers.
Therefore, the mode of this set of numbers is undefined or there is no mode.