🗊Презентация The normal distribution

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The normal distribution, слайд №1The normal distribution, слайд №2The normal distribution, слайд №3The normal distribution, слайд №4The normal distribution, слайд №5The normal distribution, слайд №6The normal distribution, слайд №7The normal distribution, слайд №8The normal distribution, слайд №9The normal distribution, слайд №10The normal distribution, слайд №11The normal distribution, слайд №12The normal distribution, слайд №13The normal distribution, слайд №14The normal distribution, слайд №15The normal distribution, слайд №16The normal distribution, слайд №17
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Слайды и текст этой презентации

Слайд 1


The Normal Distribution
Описание слайда:
The Normal Distribution

Слайд 2


The Area under the curve
Описание слайда:
The Area under the curve

Слайд 3


The mean is in the middle.
Описание слайда:
The mean is in the middle.

Слайд 4


Within one standard deviation
Описание слайда:
Within one standard deviation

Слайд 5


What percent of the data is between 0 and 1?
Описание слайда:
What percent of the data is between 0 and 1?

Слайд 6


Part (Yellow) + Part (Brown) =100
Описание слайда:
Part (Yellow) + Part (Brown) =100

Слайд 7


Within two standard deviations
Описание слайда:
Within two standard deviations

Слайд 8


The Normal Distribution A normal curve is bell shaped. The highest point on the curve is the mean of the distribution. The mean, median and mode are the same. The curve is symmetric with respect to its mean. The total area under the curve is one. Roughly 68% of the data is within one standard deviation from the mean, 95% of the data are within two standard deviations and 99.7% are within three standard deviations.
Описание слайда:
The Normal Distribution A normal curve is bell shaped. The highest point on the curve is the mean of the distribution. The mean, median and mode are the same. The curve is symmetric with respect to its mean. The total area under the curve is one. Roughly 68% of the data is within one standard deviation from the mean, 95% of the data are within two standard deviations and 99.7% are within three standard deviations.

Слайд 9


Example 1 1,000 students take an intelligence test The mean is 450 and the standard deviation is 25. Label the horizontal axis. Show the Rule for the intervals for within 1 standard deviation, within 2 and within 3. What percent of the data would be between 425 and 475? How many scores would be between 425 and 475?
Описание слайда:
Example 1 1,000 students take an intelligence test The mean is 450 and the standard deviation is 25. Label the horizontal axis. Show the Rule for the intervals for within 1 standard deviation, within 2 and within 3. What percent of the data would be between 425 and 475? How many scores would be between 425 and 475?

Слайд 10


Label the bell! The mean value of land and buildings per acre from a sample of farms is $1000 with a standard deviation of $200. The data distribution has a bell shape. Estimate the percent of farms whose land and building values per acre are between $800 and $1200.
Описание слайда:
Label the bell! The mean value of land and buildings per acre from a sample of farms is $1000 with a standard deviation of $200. The data distribution has a bell shape. Estimate the percent of farms whose land and building values per acre are between $800 and $1200.

Слайд 11


Label the bell! The mean value of land and buildings per acre from a sample of farms is $1200 with a standard deviation of $350. Between what two values does about 95% of the data lie?
Описание слайда:
Label the bell! The mean value of land and buildings per acre from a sample of farms is $1200 with a standard deviation of $350. Between what two values does about 95% of the data lie?

Слайд 12


Label the bell! The mean price of new homes from a sample of houses is $155,000 with a standard deviation of $15,000. The data has a bell shaped distribution. Between what two prices do 95% of the houses fall? What is the median price? What percent is less than $110,000?
Описание слайда:
Label the bell! The mean price of new homes from a sample of houses is $155,000 with a standard deviation of $15,000. The data has a bell shaped distribution. Between what two prices do 95% of the houses fall? What is the median price? What percent is less than $110,000?

Слайд 13


Convert x to z Z is the standardized value Z= Convert x = 55 with a mean of 50 and the standard deviation of 10.
Описание слайда:
Convert x to z Z is the standardized value Z= Convert x = 55 with a mean of 50 and the standard deviation of 10.

Слайд 14


The Calculator Finding P(a<x<b) 2nd VARSDISTR Normalcdf In words: (lower limit, upper limit, mean, standard deviation) In variables: (a, b, µ, σ) For example with an x: Find the probability that x is between 40 and 60 in a distribution with a mean of 50 and a standard deviation of 10. P(40<x<60) = normalcdf(40, 60, 50,10)
Описание слайда:
The Calculator Finding P(a<x<b) 2nd VARSDISTR Normalcdf In words: (lower limit, upper limit, mean, standard deviation) In variables: (a, b, µ, σ) For example with an x: Find the probability that x is between 40 and 60 in a distribution with a mean of 50 and a standard deviation of 10. P(40<x<60) = normalcdf(40, 60, 50,10)

Слайд 15


Write the normalcdf for each µ=50 and σ=10 P(20<x<60)= normalcdf(___,___,___,___) P(20<x<50)= normalcdf(___,___,___,___) P(70<x<80)= normalcdf(___,___,___,___) P(14<x<43)= normalcdf(___,___,___,___)
Описание слайда:
Write the normalcdf for each µ=50 and σ=10 P(20<x<60)= normalcdf(___,___,___,___) P(20<x<50)= normalcdf(___,___,___,___) P(70<x<80)= normalcdf(___,___,___,___) P(14<x<43)= normalcdf(___,___,___,___)

Слайд 16


∞ = 1E99 -∞ = -1E99 P(50<x<∞)= normalcdf(___,___,___,___) P(55<x< ∞)= normalcdf(___,___,___,___) P(-∞ <x<30)= normalcdf(___,___,___,___) P(-∞ < x< 60)= normalcdf(___,___,___,___)
Описание слайда:
∞ = 1E99 -∞ = -1E99 P(50<x<∞)= normalcdf(___,___,___,___) P(55<x< ∞)= normalcdf(___,___,___,___) P(-∞ <x<30)= normalcdf(___,___,___,___) P(-∞ < x< 60)= normalcdf(___,___,___,___)

Слайд 17


Let’s Do A Graph Normal curves are graphed by normalpdf
Описание слайда:
Let’s Do A Graph Normal curves are graphed by normalpdf

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