Respuesta :
The percentage of the data points lying between 8 and 16 will be 95.4%.
What is a normal distribution?
The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
Type the correct answer in the box. use numerals instead of words. the mean of a normally distributed dataset is 12, and the standard deviation is 2.
Then the percentage of the data points lies between 8 and 16 will be
In the Normal distribution:
If the mean (M) is 12 and the standard deviation (s)is 2.
Then between 8 (12- 2*2, or M - 2 s) and 16 (12 + 2*2, or M+2 s ),or between M - 2 s and M + 2 s lies 13.6 %+ 34.1% + 34.1 % + 13.6% = 95.4% data points.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ1
The normal distribution is a symmetric probability distribution about the mean. The percentage of values that will be between 8 and 16 is 95.44%.
What is a normal distribution?
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Given the mean of the data set is 12, while the standard deviation is 2. Therefore, the percentages of values that will be between 8 and 16 are,
P(8≤x≤16) = P(x≤16) - P(x≤8)
[tex]= P(Z\leq \dfrac{16-12}{2}) - P(Z\leq \dfrac{8-12}{2})\\\\[/tex]
= P(Z ≤ 2) - P(Z ≤ -2)
=0.9772-0.0228
= 0.9544
= 95.44%
Hence, the percentage of values that will be between 8 and 16 is 95.44%.
Learn more about Normal Distribution:
https://brainly.com/question/15103234
#SPJ1
