Find the interquartile range of the given dataset.
11,13,22, 17,14,21,27, 15
(1 point)
• 13.5
• 6.5
• 21.5
• 8
To find the interquartile range, we first need to find the median of the entire dataset.
Arranging the data in ascending order:
11, 13, 14, 15, 17, 21, 22, 27
The median is the middle value, which in this case is 16 (the average between 15 and 17).
Next, we divide the data into two halves - the lower half (11, 13, 14, 15) and the upper half (17, 21, 22, 27).
To find the lower quartile (Q1), we calculate the median of the lower half, which is 13.5.
To find the upper quartile (Q3), we calculate the median of the upper half, which is 21.5.
The interquartile range is Q3 - Q1 = 21.5 - 13.5 = 8.
Therefore, the interquartile range of the dataset is 8.
Correct answer: 8