To calculate the median, first rearrange the dataset in ascending order:
{0, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 20, 30}
Original dataset has 15 values, so the median is the middle value, which is the 8th value.
Original dataset median = 14 hours
Now, adding the missing data value 5 to the dataset:
{0, 5, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 20, 30}
New dataset has 16 values, so the median is the average of the middle two values, which are the 8th and 9th values.
New dataset median = (8 + 10) / 2 = 9 hours
Therefore, the median of the original dataset is 14 hours and the median of the new dataset after "5" is added is 9 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.
The median of the original dataset is ____ hours. The median of the new dataset after “5" is ____ added is hours.
1 answer
1 answer