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 .
The original dataset in ascending order is: 2, 2, 3, 4, 5, 6, 7, 8, 10
The median of the original dataset is the middle value, which is the 5th value in this case:
Median = 5
After adding Michael's 4 pairs of shoes, the dataset becomes: 2, 2, 3, 4, 4, 5, 6, 7, 8, 10
The median of the new dataset is the average of the 5th and 6th values:
Median = (4 + 5) / 2 = 4.5
Therefore, the median of the original dataset is 5 and the median of the new dataset after adding Michael's data point is 4.5.