Answer:
To find the interquartile range (IQR), we first need to find the first and third quartiles (Q1 and Q3).
To do this, we first need to put the data in order:
44, 49, 54, 59, 65, 65, 71, 76, 81, 86, 87, 87, 89
The median of the entire dataset is the middle value, which is 76.
To find Q1, we take the median of the lower half of the dataset:
44, 49, 54, 59, 65, 65
The median of this lower half is 54.
To find Q3, we take the median of the upper half of the dataset:
81, 86, 87, 87, 89
The median of this upper half is 87.
Now we can calculate the IQR:
IQR = Q3 - Q1
IQR = 87 - 54
IQR = 33
Therefore, the interquartile range of the given data is 33.
Explanation:
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