Are the triangles similar? If so, why?
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The mean and standard deviation for the set of data will be 16 and 5.87. Then the correct option is A.
<h3>What is a standard deviation?</h3>It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The set of data is given below.
16, 22, 8, 5, 20, 18, 14, 17, 24
The mean of the data set will be
μ = (16 + 22 + 8 + 5 + 20 + 18 + 14 + 17 + 24) / 9
μ = 144 / 9
μ = 16
Then the standard deviation of the data set will be
Simplify the expression further, then we have
σ = √34.44
σ = 5.87
The mean and standard deviation for the set of data will be 16 and 5.87.
Then the correct option is A.
More about the standard deviation link is given below.
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A. square root property
it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format
B. factorising
i just felt like this was easier to factorise than the other 2 options left
C. Completing the square
same reason personal preference
D- Quadratic
the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal