Question

Normal Distribution
Using the graph as a reference, select all
statements that are true about a normal distribution
of data.
Normal distributions are symmetrical about
the mean, m.
The total area under the curve is 100.
Ninety-five percent of the data lies within 1
standard deviation of the mean.
The probability that an event is within 1
standard deviation above the mean is 34%.
All data sets are normally distributed

Answer 1

Answer:

No

Step-by-step explanation:

Explanation:-

• The graph of the normal distribution y = f(x) in the x y- plane is known as normal curve.The curve is bell shaped and symmetrical about the line x = μ

        So The first statement is not true because symmetrical about the line        x = μ not 'm'

• Area under normal curve represents the total population

so the total area under the curve is 100 or one so  The second statement is true

• The normal distribution for mean is zero and standard deviation is one is known as standard normal distribution.

• 95 percentage within two standard deviations
• 99.7 percentage of the data are within three standard deviations of the mean.
• 68 percentage of the data are within one standard deviation

All above points are true so In given data the third statement is not true

95 percentage within two standard deviations not one

• The fourth statement is false because 68 percentage of the data are within one standard deviation not 34 percentage.

• All data sets are normally distributed its depend on given data

Answer 2

Answer:

1 and 4.

Step-by-step explanation:

i just did it