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Use the image to answer the question.

A histogram is plotted in the first quadrant of a coordinate plane. A smooth curve is drawn above the bars on the histogram.

Isabelle creates the smooth curve to model the data in the histogram. What does she know about the shape of the curve?

(1 point)
Responses

The curve is skewed.
The curve is skewed.

The curve is bimodal.
The curve is bimodal.

The curve is multimodal.
The curve is multimodal.

The curve is symmetric.
The curve is symmetric.

1 answer

To determine the appropriate response regarding the shape of the curve modeling the data in the histogram, we need to consider what is commonly known about histograms and their corresponding curves.

  • If a histogram has two distinct peaks, the curve would be considered bimodal.
  • If there are multiple peaks, the curve would be regarded as multimodal.
  • A curve is skewed if it has a longer tail on one side compared to the other.
  • If the data is evenly distributed on both sides of the center, the curve would be symmetric.

Without the image, it's impossible to definitively say which option is correct. However, you should choose the option that best reflects the characteristics of the histogram based on its bars and the smooth curve:

  • If it appears to have two peaks, select: The curve is bimodal.
  • If it has more than two peaks, select: The curve is multimodal.
  • If one tail is longer, select: The curve is skewed.
  • If it appears balanced, select: The curve is symmetric.

Choose the option that best describes the observed shape of the curve in relation to the histogram.