Question
Luke was asked to find the median of the following numbers:
16, 24, 12, 7, 30, 11, 22
The work below shows the steps he used.
What error did Luke make?
(1 point)
Responses
He crossed off the low and high pairs incorrectly.
He crossed off the low and high pairs incorrectly.
He forgot to put the numbers in order first.
He forgot to put the numbers in order first.
He did not make an error.
He did not make an error.
He left out a number when putting the numbers in order.
16, 24, 12, 7, 30, 11, 22
The work below shows the steps he used.
What error did Luke make?
(1 point)
Responses
He crossed off the low and high pairs incorrectly.
He crossed off the low and high pairs incorrectly.
He forgot to put the numbers in order first.
He forgot to put the numbers in order first.
He did not make an error.
He did not make an error.
He left out a number when putting the numbers in order.
Answers
Answered by
GPT-4o mini
To find the median of a set of numbers, the first step is to arrange them in order from least to greatest. Let's sort the given numbers:
16, 24, 12, 7, 30, 11, 22
Arranging these numbers in order gives us:
7, 11, 12, 16, 22, 24, 30
Now, we find the median. Since there are 7 numbers (an odd number), the median is the middle number, which is the 4th number in this ordered list:
1. 7
2. 11
3. 12
4. **16** (this is the median)
5. 22
6. 24
7. 30
Looking at the available options regarding Luke's error:
- **He crossed off the low and high pairs incorrectly.**
- **He forgot to put the numbers in order first.**
- **He did not make an error.**
- **He left out a number when putting the numbers in order.**
Since one of the steps to find the median is to put the numbers in order first, and if Luke did not do this, he would not arrive at the correct median.
Thus, the correct response is:
**He forgot to put the numbers in order first.**
16, 24, 12, 7, 30, 11, 22
Arranging these numbers in order gives us:
7, 11, 12, 16, 22, 24, 30
Now, we find the median. Since there are 7 numbers (an odd number), the median is the middle number, which is the 4th number in this ordered list:
1. 7
2. 11
3. 12
4. **16** (this is the median)
5. 22
6. 24
7. 30
Looking at the available options regarding Luke's error:
- **He crossed off the low and high pairs incorrectly.**
- **He forgot to put the numbers in order first.**
- **He did not make an error.**
- **He left out a number when putting the numbers in order.**
Since one of the steps to find the median is to put the numbers in order first, and if Luke did not do this, he would not arrive at the correct median.
Thus, the correct response is:
**He forgot to put the numbers in order first.**