A population is normally distributed with mean 16.3 and standard deviation 1.4. (a) Find the intervals representing one, two, and three standard deviations of the mean. one standard deviation (smaller value) (larger value) two standard deviations (smaller value) (larger value) three standard deviations (smaller value) (larger value) (b) What percent of the data lies in each of the intervals in part (a)? (Round your answers to two decimal places.) one standard deviation % two standard deviations % three standard deviations %
A population is normally distributed with mean 16.3 and standard deviation 1.4. (a) Find the intervals representing one, two, and three standard deviations of the mean. one standard deviation (smaller value) (larger value) two standard deviations (smaller value) (larger value) three standard deviations (smaller value) (larger value) (b) What percent of the data lies in each of the intervals in part (a)? (Round your answers to two decimal places.) one standard deviation % two standard deviations % three standard deviations %
A population is normally distributed with mean 16.3 and standard deviation 1.4. (a) Find the intervals representing one, two, and three standard deviations of the mean. one standard deviation (smaller value) (larger value) two standard deviations (smaller value) (larger value) three standard deviations (smaller value) (larger value) (b) What percent of the data lies in each of the intervals in part (a)? (Round your answers to two decimal places.) one standard deviation % two standard deviations % three standard deviations %
A population is normally distributed with mean 16.3 and standard deviation 1.4.
(a) Find the intervals representing one, two, and three standard deviations of the mean.
one standard deviation
(smaller value)
(larger value)
two standard deviations
(smaller value)
(larger value)
three standard deviations
(smaller value)
(larger value)
(b) What percent of the data lies in each of the intervals in part (a)? (Round your answers to two decimal places.)
one standard deviation
%
two standard deviations
%
three standard deviations
%
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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