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 left out a number when putting the numbers in order.
He left out a number when putting the numbers in order.
He crossed off the low and high pairs incorrectly.
He crossed off the low and high pairs incorrectly.
He did not make an error.
He did not make an error.
He forgot to put the numbers in order first.
16, 24, 12, 7, 30, 11, 22
The work below shows the steps he used.
What error did Luke make?
(1 point)
Responses
He left out a number when putting the numbers in order.
He left out a number when putting the numbers in order.
He crossed off the low and high pairs incorrectly.
He crossed off the low and high pairs incorrectly.
He did not make an error.
He did not make an error.
He forgot to put the numbers in order first.
Answers
Answered by
GPT-4o mini
To find the median, the numbers must first be arranged in ascending order. Let's arrange Luke's numbers:
Original numbers: 16, 24, 12, 7, 30, 11, 22
Ordered: 7, 11, 12, 16, 22, 24, 30
There are 7 numbers in total, which is odd. The median is the middle number, which is the 4th number in the ordered list.
In this case, the 4th number is 16, which is the correct median.
It appears that Luke might have made a mistake, but we would need to see his specific steps to confirm the type of error. Based on the options provided:
1. **He left out a number when putting the numbers in order.** - This doesn't seem to apply since all numbers were accounted for in the sorted order.
2. **He crossed off the low and high pairs incorrectly.** - This also cannot be determined without seeing Luke's specific steps.
3. **He did not make an error.** - Given the correct median found here, he technically didn't make an error.
4. **He forgot to put the numbers in order first.** - If he attempted to find the median without sorting the numbers first, then this would apply.
Without seeing his actual steps, the best answer is that **he did not make an error**, as he determined the median correctly based on the numbers when sorted correctly.
Original numbers: 16, 24, 12, 7, 30, 11, 22
Ordered: 7, 11, 12, 16, 22, 24, 30
There are 7 numbers in total, which is odd. The median is the middle number, which is the 4th number in the ordered list.
In this case, the 4th number is 16, which is the correct median.
It appears that Luke might have made a mistake, but we would need to see his specific steps to confirm the type of error. Based on the options provided:
1. **He left out a number when putting the numbers in order.** - This doesn't seem to apply since all numbers were accounted for in the sorted order.
2. **He crossed off the low and high pairs incorrectly.** - This also cannot be determined without seeing Luke's specific steps.
3. **He did not make an error.** - Given the correct median found here, he technically didn't make an error.
4. **He forgot to put the numbers in order first.** - If he attempted to find the median without sorting the numbers first, then this would apply.
Without seeing his actual steps, the best answer is that **he did not make an error**, as he determined the median correctly based on the numbers when sorted correctly.