Mrs. Mason volunteers to make one prize ribbon for each of the forty-seven students who will attend math camp. Mrs. Mason will d
1 answer:
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Answer:
As a rule of thumb, it is usual to define discrete data in 5 to 10 groups or bins. When graphed, the height of each group or bin defines the frequency for the group or bin.
Explanation:
When discrete data is graphed into a histogram, it defines a frequency distribution. Because information becomes lost when too many groups or bins are used, it is customary to use 5 to 10 bins.
Example:
Consider the following random data which has a sample size of 16.
x = [1, 3, 6, 2, 9, 8, 4, 5, 10, 3, 5, 4, 3, 5, 7, 5]
When fewer groups or bins are used to construct the histogram, the centralized nature of the distribution is easy to discern.
As the number of bins increases, the distribution becomes more difficult to define.
As a rule of thumb, it is usual to define discrete data in 5 to 10 groups or bins. When graphed, the height of each group or bin defines the frequency for the group or bin.
Explanation:
When discrete data is graphed into a histogram, it defines a frequency distribution. Because information becomes lost when too many groups or bins are used, it is customary to use 5 to 10 bins.
Example:
Consider the following random data which has a sample size of 16.
x = [1, 3, 6, 2, 9, 8, 4, 5, 10, 3, 5, 4, 3, 5, 7, 5]
When fewer groups or bins are used to construct the histogram, the centralized nature of the distribution is easy to discern.
As the number of bins increases, the distribution becomes more difficult to define.
Answer:
y = 1/8(x -2)^2 -1
Step-by-step explanation:
The vertex form of the equation of a parabola can be written as ...
y = (1/(4p))(x -h)^2 +k
for vertex (h, k) and vertex-to-directrix distance p. Here, the vertex has a y-value of -1, and the directrix has a y-value of -3, so the distance between them is -1 -(-3) = 2, and the desired equation with vertex (2, -1) is ...
y = 1/8(x -2)^2 -1
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<em>Comment on the graph</em>
One description of a parabola is that it is the locus of points equidistant from the focus and the directrix. I like to show that a point on the parabola (not the vertex) meets that requirement. That is what the dashed orange lines are for in the diagram. You can easily see that each has length 4.
