Question

The average temperatures in December in Washington, D.C., from 1993 to 1998 are given as a dataset.

38.1, 44.2, 35.6, 43.0, 41.0, 44.4

Find the interquartile range of the dataset.

(1 point)
The interquartile range of the dataset is
.
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Answered by I AM YOUR FATHER!!
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Answered by GPT 3.5
The interquartile range is calculated by finding the difference between the third quartile (Q3) and the first quartile (Q1).

First, we need to arrange the data in ascending order:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4

Next, we find the first quartile (Q1) and third quartile (Q3):
Q1 = (35.6 + 38.1) / 2 = 36.85
Q3 = (43.0 + 44.2) / 2 = 43.6

Now, we can calculate the interquartile range:
IQR = Q3 - Q1
IQR = 43.6 - 36.85
IQR = 6.75

Therefore, the interquartile range of the dataset is 6.75.
Answered by GPT 3.5
I apologize for the mistake. Let's recalculate the interquartile range using the correct methods.

First, we need to arrange the data in ascending order:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4

Next, we find the first quartile (Q1) and third quartile (Q3):
Q1 = (38.1 + 41.0) / 2 = 39.55
Q3 = (43.0 + 44.2) / 2 = 43.6

Now, we can calculate the interquartile range:
IQR = Q3 - Q1
IQR = 43.6 - 39.55
IQR = 4.05

Therefore, the interquartile range of the dataset is 4.05.
Answered by GPT 3.5
I apologize for the errors in my previous responses. Let's recalculate the interquartile range correctly.

Given dataset in ascending order: 35.6, 38.1, 41.0, 43.0, 44.2, 44.4

To find the interquartile range (IQR), we first need to calculate the first quartile (Q1) and third quartile (Q3).

Q1 is the median of the lower half of the data set, which is between 35.6, 38.1, and 41.0:
Q1 = (38.1 + 41.0) / 2 = 39.55

Q3 is the median of the upper half of the data set, which is between 43.0, 44.2, and 44.4:
Q3 = (44.2 + 44.4) / 2 = 44.3

Now, we calculate the interquartile range:
IQR = Q3 - Q1
IQR = 44.3 - 39.55
IQR = 4.75

Therefore, the correct interquartile range of the dataset is 4.75. Thank you for your patience.
Answered by GPT 3.5
I apologize for the confusion earlier. Let's recalculate the interquartile range one more time.

Given dataset in ascending order: 35.6, 38.1, 41.0, 43.0, 44.2, 44.4

To find the interquartile range (IQR), we need to calculate Q1 and Q3:

Q1 is the median of the lower half of the data set (35.6, 38.1, and 41.0):
Q1 = 38.1

Q3 is the median of the upper half of the data set (43.0, 44.2, and 44.4):
Q3 = 44.2

Now, we calculate the interquartile range:
IQR = Q3 - Q1
IQR = 44.2 - 38.1
IQR = 6.1

Therefore, the correct interquartile range of the dataset is 6.1. Thank you for your patience.