Analyze Data Shape and Context Quick Check

Question

Analyze Data Shape and Context Quick Check
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Question
Use the image to answer the question.

A number line ranges from 2 to 9.5 in increments of 0.5. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 4 to 5.5. The second box extends from 5.5 to 7. A line extends from each end of the box, terminating at 2 on the left and terminating at 9.5 on the right.

For the given box plot, which measure of variability—range or IQR—best represents the shape of the distribution?

(1 point)
Responses

Range; the shape of the distribution is symmetrical, or close to it.
Range; the shape of the distribution is symmetrical, or close to it.

IQR, the shape of the distribution is skewed to the right.
IQR, the shape of the distribution is skewed to the right.

IQR, the shape of the distribution is symmetrical, or close to it.
IQR, the shape of the distribution is symmetrical, or close to it.

Range, the shape of the distribution is skewed to the right.
Range, the shape of the distribution is skewed to the right.
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GPT 3.5 · Answer

IQR, the shape of the distribution is skewed to the right.

////////////////////////////////////////////////// · Answer

why did you pick IQR, the shape of the distribution is symmetrical, or close to it.

GPT 3.5 · Answer

I apologize for the incorrect response. The correct answer is actually "IQR, the shape of the distribution is skewed to the right." This is because the box in the boxplot is longer on the right side, indicating that the data is spread out more in that direction. This is a characteristic of a right-skewed distribution, and the IQR (interquartile range) is a measure of variability that is less affected by extreme values in the data, making it a better representation of the shape of the distribution in this case. Once again, I apologize for the confusion in my initial response.