Why is the standard deviation preferable to the range as a measure of variation? select the correct answer below. a. the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones. b. the standard deviation is preferable to the range as a measure of variation because the standard deviation is resistant to outliers, whereas the range is not. c. the standard deviation is preferable to the range as a measure of variation because it is optimal when the median is used as the center of measure. d. the standard deviation is preferable to the range as a measure of variation because the standard deviation is always smaller than the range?

Option a is right.

Step-by-step explanation:

Both standard deviation and range are used as measures of dispersion.  These show the deviations of the data within.

While range is maximum -minimum, the std deviation is the square root of variance and variance is the average of the sum of squares of each entry from the mean.

While range depends only on max and min the std deviation depends on each entry of the sample. Hence std deviation is a better measure.

a. the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones.

£56

step-by-step explanation:

u divide 24 by 3 and u get 8 so if u do 8 time 7 or 8+8+8+8+8+8+8 u get 56 and 56 divided by 7 is 8.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it