a school district requires all graduating seniors to take a mathematics test. This year, the rest scores were approximately norm
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Answer:
The Mean Absolute Deviation (MAD) for her dataset is 4.
Detailed explanation:
Vivian collected data from local cyclists to find the typical miles they rode daily.
Her recorded figures are shown below:
7, 10, 13, 4, 12, 21, 10, 3
= 10
Data point Distance from mean
1 7 7 - 10 = | -3 | = 3
2. 10 10 - 10 = | 0 | = 0
3. 13 13 - 10 = | 3 | = 3
4. 4 4 - 10 = | -6 | = 6
5. 12 12 - 10 = | 2 | = 2
6. 21 21 - 10 = | 11 | = 11
7. 10 10 - 10 = | 0 | = 0
8. 3 3 - 10 = | -7 | = 7
Calculating the total distance gives us 3 + 0 + 3 + 6 + 2 + 11 + 0 + 7 = 32
Thus, MAD = = 4
The Mean Absolute Deviation of this data reflects an average variation of 4 miles that cyclists ride daily.
The expression is 
1. We start by factorizing the equation
:
The roots of f(x) occur at the x-values that result in f(x) being equal to 0.
From the factorized representation of the function, we find that the roots are:
-3 with a multiplicity of 1,
3 with a multiplicity of 1,
0 with a multiplicity of 3
(the multiplicity indicates the exponent of each factor in the function f(x)).
2.
The behavior of f(x) at both ends aligns with that of
, known for its specific graphical shape. Refer to the attached image.
(similarly, the end behavior of a polynomial of even degree could be likened to the end behavior of
)
Thus, like the graph of, the graph of behaves as follows:
"As x approaches negative infinity, f(x) approaches negative infinity, and as x approaches positive infinity, f(x) approaches positive infinity. "
1. We start by factorizing the equation
The roots of f(x) occur at the x-values that result in f(x) being equal to 0.
From the factorized representation of the function, we find that the roots are:
-3 with a multiplicity of 1,
3 with a multiplicity of 1,
0 with a multiplicity of 3
(the multiplicity indicates the exponent of each factor in the function f(x)).
2.
The behavior of f(x) at both ends aligns with that of
(similarly, the end behavior of a polynomial of even degree could be likened to the end behavior of
Thus, like the graph of
"As x approaches negative infinity, f(x) approaches negative infinity, and as x approaches positive infinity, f(x) approaches positive infinity. "