You have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2. Which of these statements is true?

A.) About 489 numbers would lie between the values of 8 and 12

B.) About 408 numbers would lie between the values 6 and 10

C.) About 285 numbers would lie between the values 10 and 14

D.) Exactly 408 numbers would lie between the values 10 and 14

E.) Exactly 285 numbers would lie between the values 8 and 12

Question

Mathematics

Micah Whitney

17 March, 15:25

You have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2. Which of these statements is true?

A.) About 489 numbers would lie between the values of 8 and 12

B.) About 408 numbers would lie between the values 6 and 10

C.) About 285 numbers would lie between the values 10 and 14

D.) Exactly 408 numbers would lie between the values 10 and 14

E.) Exactly 285 numbers would lie between the values 8 and 12

+2

Answers (1)

Know the Answer?

Konner Blackwell · Answer 1

Given:

600 random numbers.

Normal distribution

mean of 10

standard deviation of 2

600 x 50% = 300

10 - 2 = 8

10 + 2 = 12

300 * 0.80 = 240

300 * 1.20 = 360

from 240 to 360 will lie between 8 and 12.

The true statement would be:

E.) Exactly 285 numbers would lie between the values 8 and 12