To find the median of the original dataset, we need to first arrange the data in increasing order:
{0, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 20, 30}
The median is the middle value when the data is arranged in order. Since there are 15 data points, the median is the 8th value on the list, which is 14.
Now, let's calculate the median of the new dataset after adding the value "5":
{0, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 20, 30}
The new dataset now has 16 data points. Since there is an even number of data points, the median will be the average of the 8th and 9th values. So, the median of the new dataset is (14 + 15) / 2 = 14.5.
Therefore, the median of the original dataset is 14 hours and the median of the new dataset after adding "5" is 14.5 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.
1 answer
1 answer