Use the table to answer the question.
Number of Pairs of Shoes Number of 6th Graders
2 5
3 6
4 1
5 1
6 4
7 7
8 2
10 1
Michael wants to know how many pairs of shoes 6th graders typically own. He surveys the 6th graders at his summer camp. His results are given in the table. After Michael creates the table, he realizes that he forgot to include himself. Michael owns 4 pairs of shoes.
Calculate the median of the original dataset and the median of the new dataset with the data point for Michael’s 4 pairs of shoes added.
(1 point)
The median of the original dataset is
. The median of the new dataset after another “4” is added is
.
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To find the median of the original dataset, we first need to arrange the number of pairs of shoes in ascending order:
2, 3, 4, 5, 6, 7, 8, 10
Since the total number of data points is 8, the median will be the average of the 4th and 5th data points. The 4th data point is 5 and the 5th data point is 6. So, the median of the original dataset is (5 + 6) / 2 = 5.5.
Now, we need to find the median of the new dataset after adding Michael's data point:
2, 3, 4, 4, 5, 6, 7, 8, 10
Now, the total number of data points is 9. The median will be the middle value, which is the 5th data point in this case since it is an odd number of data points. The 5th data point is 5. So, the median of the new dataset after adding Michael's data point is 5.
no
I apologize for the mistake in my previous response. Let's try again:
Original dataset after arranging in ascending order:
2, 3, 4, 5, 6, 7, 8, 10
Since there are 8 data points, the median will be the average of the 4th and 5th data points, which are 5 and 6. So, the median of the original dataset is (5 + 6) / 2 = 5.5.
New dataset after adding Michael's data point (4):
2, 3, 4, 4, 5, 6, 7, 8, 10
Now, there are 9 data points. The median will be the middle value, which is the 5th data point. The 5th data point is 5. So, the median of the new dataset after adding Michael's data point is 5.
Therefore, the correct medians are:
- Median of the original dataset: 5.5
- Median of the new dataset with Michael's data point added: 5
no the numbers are separated
I apologize for the error. Let's re-calculate the medians with the corrected data points:
Original dataset after arranging in ascending order:
2, 3, 4, 5, 6, 7, 8, 10
Since there are 8 data points, the median will be the average of the 4th and 5th data points, which are 5 and 6. So, the median of the original dataset is (5 + 6) / 2 = 5.5.
New dataset after adding Michael's data point (4):
2, 3, 4, 4, 5, 6, 7, 8, 10
Now, there are 9 data points. The median will be the average of the 5th and 6th data points, which are both 5. So, the median of the new dataset after adding Michael's data point is 5.
Therefore, the correct medians are:
- Median of the original dataset: 5.5
- Median of the new dataset with Michael's data point added: 5
nooooo
I apologize for the mistakes in the previous responses. Let's re-calculate the medians step by step:
Original dataset after arranging in ascending order:
2, 3, 4, 5, 6, 7, 8, 10
Since there are 8 data points, the median will be the average of the 4th and 5th data points, which are 5 and 6. The median of the original dataset is (5 + 6) / 2 = 5.5.
New dataset after adding Michael's data point (4):
2, 3, 4, 4, 5, 6, 7, 8, 10, 4
Now, there are 10 data points. The median will be the average of the 5th and 6th data points, which are both 5. The median of the new dataset after adding Michael's data point is 5.
Therefore, the correct medians are:
- Median of the original dataset: 5.5
- Median of the new dataset with Michael's data point added: 5
it is not five
I apologize for the errors in my previous responses. Let's re-calculate the medians correctly:
Original dataset after arranging in ascending order:
2, 3, 4, 5, 6, 7, 8, 10
Since there are 8 data points, the median will be the average of the 4th and 5th data points, which are 5 and 6. The median of the original dataset is (5 + 6) / 2 = 5.5.
New dataset after adding Michael's data point (4):
2, 3, 4, 4, 5, 6, 7, 8, 10
Now, there are 9 data points. The median will be the middle value, which is the 5th data point (5). So, the median of the new dataset after adding Michael's data point is 5.
Therefore, the correct medians are:
- Median of the original dataset: 5.5
- Median of the new dataset with Michael's data point added: 5