Question

which statement about the curves is true? (1 point) curve a has the lowest mode. curve c has the lowest mode. curve c has the lowest standard deviation. curve b has the lowest standard deviation.

Explanation:

Step1: Recall the definition of mode and standard deviation in a normal distribution

• Mode: In a normal - distribution - like curve (assuming these are unimodal), the mode is the value at the peak of the curve.
• Standard deviation: A measure of the spread of the data. A smaller standard deviation means the data is more concentrated (the curve is narrower), and a larger standard deviation means the data is more spread out (the curve is wider).

Step2: Analyze the mode of each curve

• Looking at the peaks (modes) of the curves: Curve A has the left - most peak (assuming the x - axis is in increasing order from left to right), Curve B is in the middle, and Curve C is the right - most. So Curve A has the lowest mode.

Step3: Analyze the standard deviation of each curve

• Curve A is the narrowest, so it has the smallest standard deviation. Curve C is the widest, so it has the largest standard deviation.

Answer:

Curve A has the lowest mode.