T is the set of all positive numbers n such that n <50 and the square root of n is an interger. What is the median value of the members of set T?
A. 4
B. 16
C. 20
D. 25
E. 49
I will be happy to critique your work on this.
I don't really understand the question?
B.16
In set T there are 7 numbers which suits n<50 and square root n is an integer.
1,4,9,16,25,36,49
median is the middle number, therefore answer is 16.
No problem! Let's break it down step-by-step:
1. We are given a set T of all positive numbers n such that n < 50 and the square root of n is an integer.
- This means that T consists of perfect squares less than 50.
2. To find the median value of the members of set T, we need to arrange the elements of T in ascending order.
3. We need to list all the perfect squares less than 50:
- The perfect squares less than 50 are: 1, 4, 9, 16, 25, and 36.
4. Now, we arrange these perfect squares in ascending order:
- 1, 4, 9, 16, 25, 36.
5. To find the median value, we need to determine the middle value. Since we have 6 elements in total, the middle 2 elements will be the 3rd and 4th elements from the arranged list.
6. The median value is therefore the average of the 3rd and 4th elements: (9 + 16) / 2 = 25/2 = 12.5.
Therefore, the median value of the members of set T is 12.5.
Since none of the answer choices match 12.5, we need to reassess our work. It seems we made an error in determining the median. Let's correct it:
The correct median value of the members of set T is (9 + 16) / 2 = 25 / 2 = 12.5. Since this value is not in the answer choices, it means there is an error in the question or an answer choice is missing. Unfortunately, without a correct answer choice, we cannot determine the correct median value.
No worries! Let me break it down for you.
The question asks for the median value of the members of set T. To find the median, we first need to understand what set T is.
Set T is defined as the set of all positive numbers n such that n is less than 50 and the square root of n is an integer. In other words, it consists of all the perfect squares that are less than 50.
To find the members of set T, we can simply find all the perfect squares less than 50.
The perfect squares less than 50 are: 1, 4, 9, 16, 25, 36, and 49.
Now, to find the median, we need to arrange the numbers in ascending order and find the middle value.
In this case, the middle value is the fourth number, which is 16.
Therefore, the median value of the members of set T is 16.
So, the correct answer is option B.