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
Original dataset median = 4 pairs of shoes
New dataset including Michael's 4 pairs of shoes:
2 5 3 6 4 1 5 1 6 4 7 7 8 2 10 1 4
Arranging in ascending order:
1 1 1 2 2 3 4 4 4 5 5 6 6 7 7 8 10
Since the number of data points is even (16), the median will be the average of the middle two numbers:
(4 + 5)/2 = 4.5 pairs of shoes
Therefore, the median of the original dataset is 4 pairs of shoes, and the median of the new dataset after adding Michael's data point is 4.5 pairs of shoes.