To calculate the median, we first need to arrange the data in ascending order:
{0, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 20, 30}
Now, we find the median of the original dataset which is the middle value when the data is in ascending order. Since there are 15 data points, the median will be the average of the 8th and 9th values.
Median of original dataset: (14 + 15) / 2 = 14.5 hours
Now, let's add the missing data value "5" to the dataset:
{0, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 20, 30, 5}
Re-arranging the data in ascending order:
{0, 5, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 20, 30}
Now, we find the median of the new dataset which is the middle value when the data is in ascending order. Since there are 16 data points, the median will be the average of the 8th and 9th values.
Median of new dataset: (10 + 11) / 2 = 10.5 hours
Therefore, the median of the original dataset is 14.5 hours and the median of the new dataset after "5" is added is 10.5 hours.
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 follows. {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) The median of the original dataset is __ hours. The median of the new dataset after “5" is added is __ hours.
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