Use the image to answer the question.
A solid distribution curve A, a dotted distribution curve B, and a dashed dotted distribution curve C are plotted on the first quadrant of a coordinate plane. All three curves are normal distribution curves.
Which curve has the highest standard deviation?
(1 point)
Responses
C
C
A
A
B
B
All curves have the same standard deviation.
C
Use the image to answer the question.
A solid distribution curve labeled A and a dotted distribution curve labeled B are plotted on the first quadrant of a coordinate plane.
Janet is using two curves to model data from two different data distributions. The curve labeled A represents data from group A, and the curve labeled B represents data from group B. Based on the shapes of the curves, what conclusions can she draw about the two groups?
(1 point)
Responses
Group A has a higher standard deviation, and group B has a higher mode.
Group A has a higher standard deviation, and group B has a higher mode.
Group B has a higher standard deviation, and group A has a higher mode.
Group B has a higher standard deviation, and group A has a higher mode.
Group A has a higher standard deviation and mode than group B.
Group A has a higher standard deviation and mode than group B .
Group B has a higher standard deviation and mode than group A.
Group A has a higher standard deviation, and group B has a higher mode.
Which of the following describes an attribute of the normal curve?(1 point)
Responses
The total area under the curve varies depending on the mean and the standard deviation of the data.
The total area under the curve varies depending on the mean and the standard deviation of the data.
The mean of the data is very different from the mode of the data.
The mean of the data is very different from the mode of the data.
The normal curve is symmetric about the center.
The normal curve is symmetric about the center.
The normal curve is defined only by the mean of the data.
The normal curve is symmetric about the center.
Use the image to answer the question.
A normal distribution curve is titled Heights of 10-story building in meters. The horizontal axis ranges 27 to 39 in increments of 2. Corresponding vertical lines are drawn inside the curve from each value to the curve, creating defined regions.
The graph shows the normal curve describing the distribution of the heights of 10-story buildings from cities around the world. What is the probability that a 10-story building is shorter than 35 meters?
(1 point)
Responses
15.85%
15.85%
16%
16%
50%
50%
84%
84%
15.85%
Which of the following lists the criteria for using a normal curve as a model for a distribution?(1 point)
Responses
The distribution is bell-shaped, the standard deviation is in the center of the data, and the data values follow the Empirical Rule.
The distribution is bell-shaped, the standard deviation is in the center of the data, and the data values follow the Empirical Rule.
The data values follow the Empirical Rule, the mean is in the center of the data, and the distribution is bell-shaped.
The data values follow the Empirical Rule, the mean is in the center of the data, and the distribution is bell-shaped.
The data values follow the Empirical Rule, the standard deviation is in the center of the data, and the distribution is skewed to the left or right.
The data values follow the Empirical Rule, the standard deviation is in the center of the data, and the distribution is skewed to the left or right.
The distribution is bell-shaped, the mean and the standard deviation are approximately equal and in the center of the data, and the data values follow the Empirical Rule.