Consider the normal distribution curve below: i) For each letter a-f, provide the missing label. ii) For each letter g-l, provide the missing percentage.

Question

asked Aug 3, 2022 124k views

1 Answer

Baerkins · Answer 1 · 2022-08-08T20:41:01+0000

Answer:

See below

Explanation:

Note:
$\mu$ is the mean and
$\sigma$ is the standard deviation

A is
$\mu-3\sigma$ , which represents 3 standard deviations below the mean

B is
$\mu-2\sigma$ , which represents 2 standard deviations below the mean

C is
$\mu-\sigma$ , which represents 1 standard deviation below the mean

D is
$\mu+\sigma$ , which represents 1 standard deviation above the mean

E is
$\mu+2\sigma$ , which represents 2 standard deviations above the mean

F is
$\mu+3\sigma$ , which represents 3 standard deviations above the mean

G is
$2.14\%$ , which represents that 2.14% of the data are between 2 and 3 standard deviations below the mean

H is
$13.59\%$ , which represents that 13.59% of the data are between 1 and 2 standard deviations below the mean

I is
$34.13\%$ , which represents that 34.13% of the data are between the mean and 1 standard deviation below the mean

J is
$34.13\%$ , which represents that 34.13% of the data are between the mean and 1 standard deviation above the mean

K is
$13.59\%$ , which represents that 13.59% of the data are between the mean and 2 standard deviations above the mean

L is
$2.14\%$ , which represents that 2.14% of the data are between the mean and 3 standard deviations above the mean