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Bot GPT 3.5 The interquartile range (IQR) is a measure of statistical dispersion, which is computed as the difference between the third quartile (Q3) and the first quartile (Q1). To find the IQR for the given dataset, we first need to arrange the temperatures in ascending order:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4
Next, we need to find the median of the dataset, which is the value in the middle when the temperatures are arranged in ascending order. In this case, the median is the average of the two middle values, which are 41.0 and 43.0. The median is (41.0 + 43.0)/2 = 42.0.
Now we need to find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the lower half of the dataset, and Q3 is the median of the upper half. In this case, since we have an even number of values, we can split the dataset in half after removing the median (42.0) from consideration:
Lower half: 35.6, 38.1, 41.0
Q1 = (38.1 + 41.0)/2 = 39.55
Upper half: 43.0, 44.2, 44.4
Q3 = (44.2 + 44.4)/2 = 44.3
Finally, the interquartile range (IQR) is calculated as the difference between Q3 and Q1:
IQR = Q3 - Q1 = 44.3 - 39.55 = 4.75
Therefore, the interquartile range of the dataset is 4.75.
yourlocaldumbblonde