Graphs of Normal Probability Distributions The graph of a normal distribution is called a normal curve. It takes on the shape of a bell and is referred.

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Graphs of Normal Probability Distributions The graph of a normal distribution is called a normal curve. It takes on the shape of a bell and is referred to as a bell curve.

Graphs of Normal Probability Distributions The graph of a normal distribution is called a normal curve. It takes on the shape of a bell and is referred to as a bell curve. Lets look at the properties of a bell curve :

Graphs of Normal Probability Distributions The graph of a normal distribution is called a normal curve. It takes on the shape of a bell and is referred to as a bell curve. Lets look at the properties of a bell curve : 1.The curve is bell shaped, with the highest point over the mean

Graphs of Normal Probability Distributions The graph of a normal distribution is called a normal curve. It takes on the shape of a bell and is referred to as a bell curve. Lets look at the properties of a bell curve : 1.The curve is bell shaped, with the highest point over the mean 2. The curve has symmetry about the mean

Graphs of Normal Probability Distributions The graph of a normal distribution is called a normal curve. It takes on the shape of a bell and is referred to as a bell curve. Lets look at the properties of a bell curve : 1.The curve is bell shaped, with the highest point over the mean 2. The curve has symmetry about mean 3. The curve approaches but never touches horizontal axis

Graphs of Normal Probability Distributions

The Empirical Rule : For a bell - shaped curve that is symmetrical

Graphs of Normal Probability Distributions The Empirical Rule : For a bell - shaped curve that is symmetrical - 68% of the data values lie within 1 standard deviation on either side of the mean 68% 34%

Graphs of Normal Probability Distributions The Empirical Rule : For a bell - shaped curve that is symmetrical - 68% of the data values lie within 1 standard deviation on either side of the mean - 95% of the data values lie within 2 standard deviations on either side of the mean 68% 34% 95% 13.5%

Graphs of Normal Probability Distributions The Empirical Rule : For a bell - shaped curve that is symmetrical - 68% of the data values lie within 1 standard deviation on either side of the mean - 95% of the data values lie within 2 standard deviations on either side of the mean % of the data values lie within 3 standard deviations on either side of the mean 68% 34% 95% 13.5% 34% 99.7% 2.35%

Graphs of Normal Probability Distributions

34%

Graphs of Normal Probability Distributions 34%

Graphs of Normal Probability Distributions

34% 13.5%

Graphs of Normal Probability Distributions 34% 13.5%

Graphs of Normal Probability Distributions CONTROL CHARTS Control charts are used to examine data over a period of time intervals or in some sequential order. There exists an inherent amount of variability in any sequential data. A good example is the number of riders per hour on a roller coaster. That number will vary from hour to hour and day to day. Control charts combine graphic and numeric descriptions of data with probability distributions.

Graphs of Normal Probability Distributions

Day

Graphs of Normal Probability Distributions Day

Graphs of Normal Probability Distributions Day

Graphs of Normal Probability Distributions Day Day RoomsRooms

Graphs of Normal Probability Distributions Day Day RoomsRooms

Graphs of Normal Probability Distributions Day Day RoomsRooms

Graphs of Normal Probability Distributions Day Day RoomsRooms

Graphs of Normal Probability Distributions

The probability of a false alarm = 0.003

Graphs of Normal Probability Distributions

The probability of a false alarm = 0.004

Graphs of Normal Probability Distributions

The probability of a false alarm = 0.002