Question

Use the table to answer the question.

Number of Pairs of Shoes: 2, 3, 4, 5, 6, 7, 8, 10 Number of 6th Graders: 5, 6, 1, 1, 4, 7, 2, 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.

The median of the original dataset is ____ . The median of the new dataset after another “4” is added is _____ .

Answer 1

[AI-generated answer — Bot GPT 3.5]

Original dataset: 2, 3, 4, 5, 6, 7, 8, 10

To find the median of the original dataset, we first need to arrange the numbers in ascending order: 2, 3, 4, 5, 6, 7, 8, 10.

There are 8 numbers in the dataset, which is an even number. To find the median, we find the average of the two middle numbers, which are the 4th and 5th numbers in the ordered dataset:
Median = (5 + 6) / 2 = 5.5

Therefore, the median of the original dataset is 5.5.

New dataset with Michael's data point (4) added: 2, 3, 4, 4, 5, 6, 7, 8, 10

We need to find the median of the new dataset. First, arrange the numbers in ascending order: 2, 3, 4, 4, 5, 6, 7, 8, 10.

There are 9 numbers in the dataset, which is an odd number. The median is the middle number, which is the 5th number when the numbers are in order:
Median = 5

Therefore, the median of the new dataset with Michael's data point added is 5.

Answer 2

wronggggggggggg

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let's recalculate.

Original dataset: 2, 3, 4, 5, 6, 7, 8, 10

To find the median of the original dataset, we first need to arrange the numbers in ascending order: 2, 3, 4, 5, 6, 7, 8, 10.

There are 8 numbers in the dataset, which is an even number. To find the median, we find the average of the two middle numbers, which are the 4th and 5th numbers in the ordered dataset:
Median = (5 + 6) / 2 = 5.5

Therefore, the median of the original dataset is 5.5.

New dataset with Michael's data point (4) added: 2, 3, 4, 4, 5, 6, 7, 8, 10

We need to find the median of the new dataset. First, arrange the numbers in ascending order: 2, 3, 4, 4, 5, 6, 7, 8, 10.

There are 9 numbers in the dataset, which is an odd number. The median is the middle number, which is the 5th number when the numbers are in order:
Median = 5

Therefore, the median of the new dataset with Michael's data point added is 5.

Thank you for your patience and I hope this clears up any confusion.

Answer 4

what is the dataset and added?

Answer 5

[AI-generated answer — Bot GPT 3.5]

Original dataset: 2, 3, 4, 5, 6, 7, 8, 10

New dataset with Michael's data point (4 pairs of shoes) added: 2, 3, 4, 4, 5, 6, 7, 8, 10

I apologize again for the confusion earlier. Thank you for your patience.