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How do you get the missing values in the cumulative frequency table when only the class intervals are given?
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∙ 9y ago
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How many types are there of frequency distribution?
Introduction:Frequency distribution is used to compress and summarize the whole data by grouping the data into classes and records the data points that fall in each class. The frequency distribution is considered as the base for descriptive statistics and they are also used to define the ordinal, nominal and the interval data. Frequency distribution is the comfortable way of grouping and organizing the data.Example of Frequency Distribution:Consider the frequency table for the students in a class where the data has been grouped according to the height of the students. Range of height Total number of student's cumulative frequency3.0 - 4.5 feet 15 154.5 - 5.0 feet 20 355.0 - 6.5 feet 25 506.5 - 7.0 feet 30 80In the case of nominal data the use of the contingency table is required. The frequency distributions are used to present the data graphically.Types of Frequency Distributions:There are three types of frequency distributions. Cumulative frequency distribution,Grouped frequency distribution,Cumulative Grouped frequency distribution.Cumulative frequency distribution (type 1):The cumulative frequency can be found from the frequency distribution by adding the cumulative frequency column. The highest cumulative frequency should be equal to the total number of frequenciesTemperature Frequency Cumulative frequency47 3 2246 3 1945 4 1544 3 1243 3 9Grouped frequency distribution (type 2):The grouped frequency distribution can be formed by grouping the values together into the class intervals. The range can be calculated using the maximum and the minimum values.Data set for temperature45 48 47 43 4442 45 43 46 4645 47 46 47 4543 47 45 47 4644 43 44 46 47The grouped frequency distribution is given byClass interval midpoint frequency45- 47 46 1542 - 44 43 7Cumulative grouped frequency distribution (type 3):In cumulative frequency distribution the cumulative frequency column is added to the grouped frequency distribution so that we can get the cumulative grouped frequency distribution.Class interval midpoint frequency Cumulative frequency45- 47 46 15 2242 - 44 43 7 7
How is a frequency curve in statistics different from a frequency polygon?
In order to plot the points on either the frequency polygon or curve, the mid values of the class intervals of the distribution are calculated. Then the frequencies with respect to the mid points are plotted. However in a frequency curve the points are joined by a smooth curve, where as in a frequency polygon the points are joined by straight lines. Apart from this major difference, a frequency polygon is a closed figure where as the frequency curve is not.
In equation form what is the Cumulative Frequency Function for a histogram and what does it mean?
mi= summation (mj) is the equation and it means that it counts all the observations together. * * * * * Clear as mud! Suppose you have a variable X that can take the values xi and that x1<x2< ... < xn. And you have a frequency distribution function f(xi) = mi for each value of i Then the cumulative frequency distribution is F(xk) = f(x1)+f(x2) + ... +f(xk) = m1+m2+...mk that is, F(xk) is the sum of all the frequencies up to and including k. In other words, it is the number of times (frequency) that the result was less than or equal to xk.
How do you figure out cumulative percentages?
Given an ordered set of groups or classes and percentages for each one, the cumulative percentage is the running total of the percentage values as you go along the groups or classes.
Which the function's values become very positive or negative numbers?
The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).
Does cumulative frequency show distribution?
Not directly, but the cumulative frequency contains the same information as the frequencies for the values in question. However, it may not show the full details of the distribution if the values have been grouped.
What is the frequency of all data values that are less than or equal to the given value?
The cumulative frequency.
What does your cumulative frequency graph tell you?
Cumulative frequency graphs or ogives are used to visually represent how many values are below a certain upper class boundary.
What does a cumulative relative frequency of .4 mean?
If the cumulative relative frequency when the variable X takes the value x, it means that 0.4 (or 40%) of the values of the variable X are less than or equal to x.
What goes on the X-axis of a frequency polygon?
The categories, variable values or midpoints of class-intervals.
How many types are there of frequency distribution?
Introduction:Frequency distribution is used to compress and summarize the whole data by grouping the data into classes and records the data points that fall in each class. The frequency distribution is considered as the base for descriptive statistics and they are also used to define the ordinal, nominal and the interval data. Frequency distribution is the comfortable way of grouping and organizing the data.Example of Frequency Distribution:Consider the frequency table for the students in a class where the data has been grouped according to the height of the students. Range of height Total number of student's cumulative frequency3.0 - 4.5 feet 15 154.5 - 5.0 feet 20 355.0 - 6.5 feet 25 506.5 - 7.0 feet 30 80In the case of nominal data the use of the contingency table is required. The frequency distributions are used to present the data graphically.Types of Frequency Distributions:There are three types of frequency distributions. Cumulative frequency distribution,Grouped frequency distribution,Cumulative Grouped frequency distribution.Cumulative frequency distribution (type 1):The cumulative frequency can be found from the frequency distribution by adding the cumulative frequency column. The highest cumulative frequency should be equal to the total number of frequenciesTemperature Frequency Cumulative frequency47 3 2246 3 1945 4 1544 3 1243 3 9Grouped frequency distribution (type 2):The grouped frequency distribution can be formed by grouping the values together into the class intervals. The range can be calculated using the maximum and the minimum values.Data set for temperature45 48 47 43 4442 45 43 46 4645 47 46 47 4543 47 45 47 4644 43 44 46 47The grouped frequency distribution is given byClass interval midpoint frequency45- 47 46 1542 - 44 43 7Cumulative grouped frequency distribution (type 3):In cumulative frequency distribution the cumulative frequency column is added to the grouped frequency distribution so that we can get the cumulative grouped frequency distribution.Class interval midpoint frequency Cumulative frequency45- 47 46 15 2242 - 44 43 7 7
What is a sentence for class interval?
class interval - one of several convenient intervals into which the values of the variate of a frequency distribution may be grouped.
How many advantages and disadvantages of cumulative frequency?
Advantages 1. C.F curves can be use to read off values both way round 2. The original information from a grouped frequency distribution can be onbtained from the C.F curves I dunno any disadvantages!!
How is a frequency curve in statistics different from a frequency polygon?
In order to plot the points on either the frequency polygon or curve, the mid values of the class intervals of the distribution are calculated. Then the frequencies with respect to the mid points are plotted. However in a frequency curve the points are joined by a smooth curve, where as in a frequency polygon the points are joined by straight lines. Apart from this major difference, a frequency polygon is a closed figure where as the frequency curve is not.
Purpose of cumulative frequency?
Cumulative Frequency - The purpose is to help understand the total frequency of everything UP TO a given value. By example: You could have a list of women heights and the frequency (or probability or fraction of the population) that you'll find women of each height. Or you could have a list of women heights and the frequency that you'll find women of that height OR SHORTER. This is "cumulative" in that it adds all the frequencies from zero up to that point. Often cumulative frequency is shown in a graphic rather than as a list of values as above. You might have the axis on the left (Y-axis) go from 0% to 100% and the horizontal axis on the bottom (X-axis) go from 0 cm to 300 cm. The line on the chart would show the percentage of women with heights at or under that X-value, and of course, it would be very close to 0% up to 100cm (assuming adult women), then increase to nearly 100% at 200cm, and be flat at 100% up to 300cm.
What is a cumulative frequency histogram?
-Construct a frequency table-Draw a horizontal axis and mark off the intervals.Label the horizontal axis.If the first interval does not start at 0, use a "break" symbol on the axis.-Draw a vertical axis and identify a scale for the frequencies. Label the vertical axis.Often, the vertical axis is "frequency".-Draw bars with heights corresponding to the frequency values in the table.-Give the graph an appropriate title.
What are the problems of missing frequencies in a frequency table in statistics?
Conclusions based on missing frequencies are likely to be seriously flawed. However, if the data follow a known distribution, it may be possible to get some indication of the likely values for the missing frequencies. Nevertheless, this would weaken any conclusions.
