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An ogive is a cumulative relative frequency diagram. Interpolation is definiting the midpoint (50%) of this line
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Usefullness of ogive curve?
In statistics, the ogive curve is an approximation to the cumulative distribution function. It can be used to obtain various percentiles quickly as well as to derive the probability density function.
The graph of a cumulative frequency distribution is called?
ogive
What is another name for cumulative frequency polygon?
It is called an ogive.
What are advantage of ogive?
Original information from grouped data can be obtained
Does an ogive best represent the shape of a distribution?
While a two-dimensional ogive or a cross-section of a three-dimensional ogive may represent the shape of a given distribution, they are only good for representing higher-likelihood (one- and two-sigma) outcomes because ogives do not have characteristic low-likelihood tails tails. For very well managed processes (better than four sigma accuracy), a custom ogive may provide a very good approximation of resulting distribution.
What is an ogive curve?
Ogive is an free hand uprising curve
What is ogives curve?
Ogive is an free hand uprising curve
Usefullness of ogive curve?
In statistics, the ogive curve is an approximation to the cumulative distribution function. It can be used to obtain various percentiles quickly as well as to derive the probability density function.
What is cumolative frequency curve?
A cumulative frequency curve is a graph that shows the cumulative frequency of a data set. This type of graph can present data, such as medians and quartiles. Another name for this curve is an Ogive.
What is linear interpolation used for?
Linear interpolation is used as a method used in mathematics of constructing a curve that has the best fit to a series of points of data using linear polynomials.
What are the disadvantages of cubic spline interpolation?
Derviative of function is also important.So it does not guarantee a desired curve,which might have bumps.
How do you construct a more than type cumulative frequency distribution?
Ogive (Cumulative Frequency Curve) There are two ways of constructing an ogive or cumulative frequency curve. (Ogive is pronounced as O-jive). The curve is usually of 'S' shape. We illustrate both methods by examples given below: Draw a 'less than' ogive curve for the following data: To Plot an Ogive: (i) We plot the points with coordinates having abscissae as actual limits and ordinates as the cumulative frequencies, (10, 2), (20, 10), (30, 22), (40, 40), (50, 68), (60, 90), (70, 96) and (80, 100) are the coordinates of the points. (ii) Join the points plotted by a smooth curve. (iii) An Ogive is connected to a point on the X-axis representing the actual lower limit of the first class. Scale: X -axis 1 cm = 10 marks, Y -axis 1cm = 10 c.f. Using the data given below, construct a 'more than' cumulative frequency table and draw the Ogive. To Plot an Ogive (i) We plot the points with coordinates having abscissae as actual lower limits and ordinates as the cumulative frequencies, (70.5, 2), (60.5, 7), (50.5, 13), (40.5, 23), (30.5, 37), (20.5, 49), (10.5, 57), (0.5, 60) are the coordinates of the points. (ii) Join the points by a smooth curve. (iii) An Ogive is connected to a point on the X-axis representing the actual upper limit of the last class [in this case) i.e., point (80.5, 0)]. Scale: X-axis 1 cm = 10 marks Y-axis 2 cm = 10 c.f To reconstruct frequency distribution from cumulative frequency distribution. When we write, 'less than 10 - less than 0', the difference give the frequency 4 for the class interval (0 - 10) and so on. When we write 'more than 0 - more than 10', the difference gives the frequency 4 for the class interval (0 - 10) and so on. Ogive (Cumulative Frequency Curve) There are two ways of constructing an ogive or cumulative frequency curve. (Ogive is pronounced as O-jive). The curve is usually of 'S' shape. We illustrate both methods by examples given below: Draw a 'less than' ogive curve for the following data: To Plot an Ogive: (i) We plot the points with coordinates having abscissae as actual limits and ordinates as the cumulative frequencies, (10, 2), (20, 10), (30, 22), (40, 40), (50, 68), (60, 90), (70, 96) and (80, 100) are the coordinates of the points. (ii) Join the points plotted by a smooth curve. (iii) An Ogive is connected to a point on the X-axis representing the actual lower limit of the first class. Scale: X -axis 1 cm = 10 marks, Y -axis 1cm = 10 c.f. Using the data given below, construct a 'more than' cumulative frequency table and draw the Ogive. To Plot an Ogive (i) We plot the points with coordinates having abscissae as actual lower limits and ordinates as the cumulative frequencies, (70.5, 2), (60.5, 7), (50.5, 13), (40.5, 23), (30.5, 37), (20.5, 49), (10.5, 57), (0.5, 60) are the coordinates of the points. (ii) Join the points by a smooth curve. (iii) An Ogive is connected to a point on the X-axis representing the actual upper limit of the last class [in this case) i.e., point (80.5, 0)]. Scale: X-axis 1 cm = 10 marks Y-axis 2 cm = 10 c.f To reconstruct frequency distribution from cumulative frequency distribution. When we write, 'less than 10 - less than 0', the difference give the frequency 4 for the class interval (0 - 10) and so on. When we write 'more than 0 - more than 10', the difference gives the frequency 4 for the class interval (0 - 10) and so on.
How you CAN draw an 'ogive'?
First, get a pencil, some paper and a stencil of an Ogive. Then you fill in the stencil. Job done
Is an ogive a graph of cumulative frequency distribution?
yes. An ogive is also known as a cumulative frequency graph.
How are gaps in a sequence filled in?
What you are asking is not precisely clear, but in general missing data is filled in by a process of interpolation. eg. Linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.
What is the difference between an ogive and a frequency polygon?
The ogive never close because they represent non-decreasing functions, and polygon you close it.
What does the point of intersection of less than ogive and more than ogive correspond to?
the intersection of less and more than ogive gives us the median of the following data.. but the median is not accurate as we draw the free hand cumulative graph..
