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Ogive (Cumulative Frequency Curve)
A plot of the cumulative frequency against the upper class boundary with the points joined by line segments. Any continuous cumulative frequency curve, including a cumulative frequency polygon, is called an ogive. There are two ways of constructing an h..
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 cur..
Worked examples on Ogive
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 (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..Relation between frequency and time-period
Let u be the frequency of a wave. That is, the number of vibrations completed by a particle in one second is u . Time taken to complete u vibrations = 1 second. . But time taken to complete one vibration is defined as the time period of the wa..
Let u be the frequency of a wave. That is, the number of vibrations completed by a particle in one second is u . Time taken to complete u vibrations = 1 second. . But time taken to complete one vibration is defined as the time period of the wa..Identify the incorrect statement.I. The histogram is a graph that disp..
Identify the incorrect statement. I. The histogram is a graph that displays the data by using continuous vertical bars of various heights to represent the frequencies of classes. II. The frequency polygon is a graph that displays the data by using lines that connect points plott..
Select the correct statements:I. Pie graph is the best representation ..
Select the correct statements: I. Pie graph is the best representation to show the relationship between the parts and the whole. II. Pareto chart is used to show frequencies for nominal or qualitative variables. III. Frequency polygon is another name for ogive. => all ..
Which of the following statement(s) is/are true?I. The other name for ..
Which of the following statement(s) is/are true? I. The other name for an ogive is a frequency polygon. II. The boundaries for the class limits 8.6 - 8.8 are 8.55 - 8.85. III. A Pareto chart can be used to show the relationship between the parts and the whole. => II only or I an..
The frequencies of ages of freshmen(fresh students) at a private unive..
The frequencies of ages of freshmen(fresh students) at a private university are as recorded. Age Range Percentage of Enrolment 18 - 20 40 20 - 22 25 22 - 24 15 24 - 26 20 Construct an ogive and a histogram for the data. => Graph 1, Graph 4 or Graph 1, Graph 2 or Graph 3, Graph 4..
An animal trainer conducted some tests on different kinds of cats to s..
An animal trainer conducted some tests on different kinds of cats to study their reaction time (in seconds) to a specific stimulus. Reaction time Number of cats (frequency) 2.3 - 2.6 6 2.7 - 3.0 2 3.1 - 3.4 10 3.5 - 3.8 8 3.9 - 4.2 4 4.3 - 4.6 12 Which of the ogives represents t..
Summary
Two types of graphical representation of data are the histogram and the ogive. A histogram is a diagram which represents the class interval and frequency in the form of a rectangle. When the class intervals are unequal, each rectangle is constructed with the class interval as..
Result
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