Uniform Density Curves Answers

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Which statements are true? Check all that apply.

A
To be a density curve, the area between the x-axis and the curve must be 1.
B
This cannot be a density curve because it is not symmetric.
C
This could be a density curve because all points on the curve are above the x-axis.
D
This cannot be a density curve because it contains straight lines.
E
This cannot be a density curve because some of the values are negative.
3

✔ 14138687

A
✔ 14
B
13
C
86
D
87
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Complete the statement about the shaded portion of the density curve.

Answers:
Aleesha’s weekly practice time places her at the 75th percentile of Mrs. Willman’s students. This means that Aleesha practices the piano , which is hours per week.:more than 75% of Mrs. Willman’s students
Aleesha’s weekly practice time places her at the 75th percentile of Mrs. Willman’s students. This means that Aleesha practices the piano , which is hours per week.:10.5
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3.5✔ 10.511.25

A
3.5
B
✔ 10.5
C
11.25
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Which statement best describes the values of the median and mean for the density curve?

A
The median of the values is greater than the mean of the values.
B
The median of the values is less than the mean of the values.
C
The median and mean of the values are exactly the same.
D
The median and mean of the values are about equal.
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Which shows a uniform density function?

A
[Image: On a coordinate plane, a line goes from (0, 0) to ...]
Option A
B
[Image: On a coordinate plane, a line goes from (2, 0) to ...]
Option B
C
[Image: On a coordinate plane, a line goes from (0, 0) to ...]
Option C
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Complete the statements about the shaded portion of the density curve.

Answers:
The shaded portion of the density curve represents the students who practice between and hours each week. This group of students is % of all of Mrs. Willman’s students.:8
The shaded portion of the density curve represents the students who practice between and hours each week. This group of students is % of all of Mrs. Willman’s students.:14
158752

Complete the statements about the shaded portion of the density curve.

Answers:
The shaded portion of the density curve represents the students who practice between and hours each week. This group of students is % of all of Mrs. Willman’s students.:6
The shaded portion of the density curve represents the students who practice between and hours each week. This group of students is % of all of Mrs. Willman’s students.:8
The shaded portion of the density curve represents the students who practice between and hours each week. This group of students is % of all of Mrs. Willman’s students.:14

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