The steam and leaf plot list the scores earned by students on a science test
1 answer:
You might be interested in
Okay, let's see...
The problem is asking for a linear equation most likely in the form of y=mx+b
y is another way to say f(x)
<em>m = slope </em>
<em>b = y intercept </em>
Let's start with the y intercept first.
Y intercept means ' When does the line touch (intercept) the y axis.
In this case, if you look at the graph, the line <em>touches </em>the y axis at -1.
-1 will replaces b
To find the slope we are going to take 2 precise points from the graph.
Lets use <em>(0,-1)</em> and <em>(-6,4) </em>
To find the slope, we're going to use
4 - (-1) / -6 - 0
Solve, our slope is 5/-6
That is our m
Our final equation is
Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;
For Iowa: μ = 24.5; σ² = 32.73; Range = 19
Step-by-step explanation:
Mean is the average of a population or a sample. It is defined as
μ = ∑x / n, where
x is each number of the set;
n is the total individuals in the sample.
Calculating the <u>Mean</u> for sample of taste of pizza in <u>California</u>:
μ₁ = = 33.1
Calculating the <u>Mean</u> for the sample in Iowa:
μ₂ = = 24.5
Variance measures how far the number in the set is from the mean. Its formula is
σ² = (∑x-μ)² / n -1
which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.
The <u>Variance</u> for the sample in <u>California</u> is
σ² = σ² = 120.50
The <u>Variance</u> for the sample in <u>Iowa</u> is
σ² = 32.73
Range is the difference between the highest and the lowest number of the set: range = highest - lowest
For the sample in <u>California</u>, the <u>Range</u> is
range = 46 - 14 = 32
For the sample in Iowa:
range = 35 - 16 = 19
For California:
- Mean = 33.1;
- Variance = 120.50;
- Range = 32;
For Iowa:
- Mean = 24.5;
- Variance = 32.73;
- Range = 19;
<u />