First, let's calculate the interquartile range of the original dataset.
Original dataset: {0, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 18, 20, 30}
Step 1: Find the first quartile (Q1) and the third quartile (Q3)
Q1 = (8 + 8) / 2 = 8
Q3 = (18 + 18) / 2 = 18
Step 2: Calculate the interquartile range
IQR = Q3 - Q1
IQR = 18 - 8
IQR = 10
Therefore, the interquartile range of the original dataset is 10 hours.
Now let's calculate the interquartile range of the new dataset after adding "15".
New dataset: {0, 7, 8, 8, 10, 11, 14, 15, 15, 17, 17.5, 18, 18, 18, 20, 30}
Step 1: Find the first quartile (Q1) and the third quartile (Q3)
Q1 = (9 + 11) / 2 = 10
Q3 = (18 + 18) / 2 = 18
Step 2: Calculate the interquartile range
IQR = Q3 - Q1
IQR = 18 - 10
IQR = 8
Therefore, the interquartile range of the new dataset after "15" is added is 8 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.
{0,7,8,8,10,11,14,15,17,17.5,18,18,18,20,30}
The director realizes he forgot to include the data value “15” in his dataset. Calculate the interquartile range of the original dataset and the interquartile range of the new dataset after “15” is added.
(1 point)
The interquartile range of the original dataset is
hours.
The interquartile range of the new dataset after “15" is added is
hours.
1 answer
1 answer