Which central measure is most affected by the outlier of this data set: 8, 10, 10, 11, 16, 17, 19, 21, 41 ?

Step-by-step explanation:

In statistics, central measures are the mean, the median and mode.

The mean is the average, it indicates the value that the majority of the data set is falling to.

The median is the central value, literally. The value placed in the middle of the data set is the median.

The mode is the value with the highest frequency. In other words, the value that repeats the most.

So, in the given data set, the outlier is 41, which is a drastically greater value than the other ones in the data set. However, this oulier doesn't affect the mode or the median, because you can replace it with 22, and you would have the same median and the same mode.

Therefore, the central measure most affected is the mean, because this statistic measure uses all values in the data set, so if we change the outlier, the mean would change too.

So, the right answer is the mean.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.