If you have 256 data points, how many classes (bins) would sturges' rule suggest
1 answer:
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Answer:
0.0013
Step-by-step explanation:
To do this, we need to use a normal distribution table with Z score values, like the one I'm attaching here.
Now, the expression to calculate the Z value is the following:
Z = x - μ / (σ/√n)
Where:
μ: mean
σ: standard deviation
x: value required
n: sample population
Now that we have the data, let's calculate the Z value:
Z = 66,000 - 60,000 / (4000/√4)
Z = 3
Now, let's look at the table to get the value that belongs to this Z score. According to the table, it's 0.0013
Therefore, the likelihood would be 0.0013
The function given is a quadratic function, so the graph will be a parabola. It'll look similar to the photo attached. The minimum cost will be at the vertex of the parabola because that is its lowest point! To find the x-value of the vertex (which is what the question is looking for), use the vertex formula: x = -b/2a. The variable b is the coefficient of the x term in the function, and the variable a is the coefficient of the x² term. In this case, a = 0.125 and b = -5.
x = -(-5)/2(0.125)
x = 5/0.25
x = 20
So, 20 gas grills should be produced each day to maintain minimum costs. Hope that helps! :)
x = -(-5)/2(0.125)
x = 5/0.25
x = 20
So, 20 gas grills should be produced each day to maintain minimum costs. Hope that helps! :)