The director of a local summer camp is interested in the number of hours kids spend on screens each week. He surveys a group of 15 kids at his camp and asks them how many hours they spent on screens last week. A list of his results folloves
\{0, 7, 8, 8, 10, 11, 14, 15, 17, 17, 5, 18, 18, 20, 30\}
The director realizes he forgot to include the data value "5" in his dataset Calculate the median of the original dataset and the median of the new dataset after "5" is added (1 point)
Original dataset: \{0, 7, 8, 8, 10, 11, 14, 15, 17, 17, 5, 18, 18, 20, 30\}
New dataset (with "5" added): \{0, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17, 18, 18, 20, 30\}
To find the median of the original dataset:
1. Arrange the data in ascending order: \{0, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17, 18, 18, 20, 30\}
2. Since there are 15 data points, the median will be the average of the 8th and 9th data points: (14 + 15) / 2 = 14.5
To find the median of the new dataset:
1. Arrange the data in ascending order: \{0, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17, 18, 18, 20, 30\}
2. Since there are 16 data points now, the median will be the 8th data point: 14
Therefore, the median of the original dataset is 14.5 and the median of the new dataset is 14.