Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard devi

Question

2 years ago

11

Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard devi

ation of 4 and a mean of 14? A. 68% of the data points lie between 10 and 14. B. 68% of the data points lie between 8 and 12. C. 68% of the data points lie between 10 and 18. D. 68% of the data points lie between 10 and 16.

Mathematics

2 answers:

enot [183] · Answer 1 · 2023-05-30T08:59:52+03:00

enot [183]2 years ago

8 0

Your correct answer will be option C for this question.

Artyom0805 [142] · Answer 2 · 2023-05-30T06:38:46+03:00

Answer: Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation: Given : a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.