A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?

The answer to the question is

The percent of the distribution is less than m + d is 84 %

Step-by-step explanation:

To solve the question we list out the variables

Percentage of distribution between m +d and m - d = 68 %

Therefore percentage that are outside the range of m + d and m - d = 32 %

For symmetry to be maintained, of the 32 % that are outside the range of m + d and m - d, 16 % are on either side of the range m + d to m - d

That is 16 % < (m-d) ↔ (m+d)< 16% total range = 100 %

Therefore the proportion of the range lesser than m+d = 100 - 16 or 84 %

one set of data has more variation than the other. hope this !

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b