statistics inverse gamma distribution


Frequency distribution is a table that displays the frequency of various outcomes in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a particular group or interval, and in this way, the table summarizes the distribution of values in the sample.

Example

Problem Statement:

Constructing a frequency distribution table of a survey was taken on Maple Avenue. In each of 20 homes, people were asked how many cars were registered to their households. The results were recorded as follows:

1 2 1 0 3 4 0 1 1 1 2 2 3 2 3 2 1 4 0 0

Solution:

Steps to be followed for present this data in a frequency distribution table.

  1. Divide the results (x) into intervals, and then count the number of results in each interval. In this case, the intervals would be the number of households with no car (0), one car (1), two cars (2) and so forth.
  2. Make a table with separate columns for the interval numbers (the number of cars per household), the tallied results, and the frequency of results in each interval. Label these columns Number of cars, Tally and Frequency.
  3. Read the list of data from left to right and place a tally mark in the appropriate row. For example, the first result is a 1, so place a tally mark in the row beside where 1 appears in the interval column (Number of cars). The next result is a 2, so place a tally mark in the row beside the 2, and so on. When you reach your fifth tally mark, draw a tally line through the preceding four marks to make your final frequency calculations easier to read.
  4. Add up the number of tally marks in each row and record them in the final column entitled Frequency.

Your frequency distribution table for this exercise should look like this:

Frequency table for the number of cars registered in each household
Number of cars (x) Tally Frequency (f)
0 ${\lvert\lvert\lvert\lvert}$ 4
1 ${\require{cancel} \cancel{\lvert\lvert\lvert\lvert} \lvert}$ 6
2 ${\cancel{\lvert\lvert\lvert\lvert}}$ 5
3 ${\lvert\lvert\lvert}$ 3
4 ${\lvert\lvert}$ 3

By looking at this frequency distribution table quickly, we can see that out of 20 households surveyed, 4 households had no cars, 6 households had 1 car.


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23.statistics continuous uniform distribution

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25.statistics coefficient of variation

26.statistics correlation coefficient

27.statistics cumulative plots

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36.statistics exponential distribution

37.statistics f distribution

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39.statistics factorial

40.statistics frequency distribution

41.statistics gamma distribution

42.statistics geometric mean

43.statistics geometric probability distribution

44.statistics goodness of fit

45.statistics grand mean

46.statistics gumbel distribution

47.statistics harmonic mean

48.statistics harmonic number

49.statistics harmonic resonance frequency

50.statistics histograms

51.statistics hypergeometric distribution

52.statistics hypothesis testing

53.statistics interval estimation

54.statistics inverse gamma distribution

55.statistics kolmogorov smirnov test

56.statistics kurtosis

57.statistics laplace distribution

58.statistics linear regression

59.statistics log gamma distribution

60.statistics logistic regression

61.statistics mcnemar test

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87.statistics rayleigh distribution

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91.statistics required sample size

92.statistics residual analysis

93.statistics residual sum of squares

94.statistics root mean square

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96.statistics sampling methods

97.statistics scatterplots

98.statistics shannon wiener diversity index

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100.statistics simple random sampling

101.statistics skewness

102.statistics standard deviation

103.statistics standard error se

104.statistics standard normal table

105.statistics statistical significance

106.statistics formulas

107.statistics notations

108.statistics stem and leaf plot

109.statistics stratified sampling

110.statistics student t test

111.statistics sum of square

112.statistics tdistribution table

113.statistics ti 83 exponential regression

114.statistics transformations

115.statistics trimmed mean

116.statistics type i amp ii errors

117.statistics variance

118.statistics venn diagram

119.statistics weak law of large numbers

120.statistics z table

121.discuss statistics


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