statistics data collection


Circular permutation is the total number of ways in which n distinct objects can be arranged around a fix circle. It is of two types.

  1. Case 1: – Clockwise and Anticlockwise orders are different.
  2. Case 2: – Clockwise and Anticlockwise orders are same.

Circular Permutation

Case 1: Formula

${P_n = (n-1)!}$

Where −

  • ${P_n}$ = represents circular permutation
  • ${n}$ = Number of objects

Case 2: Formula

${P_n = \frac{n-1!}{2!}}$

Where −

  • ${P_n}$ = represents circular permutation
  • ${n}$ = Number of objects

Example

Problem Statement:

Calculate circular permulation of 4 persons sitting around a round table considering i) Clockwise and Anticlockwise orders as different and ii) Clockwise and Anticlockwise orders as same.

Solution:

In Case 1, n = 4, Using formula

${P_n = (n-1)!}$

Apply the formula

${P_4 = (4-1)! \\[7pt]
\ = 3! \\[7pt]
\ = 6 }$

In Case 2, n = 4, Using formula

${P_n = \frac{n-1!}{2!}}$

Apply the formula

${P_4 = \frac{n-1!}{2!} \\[7pt]
\ = \frac{4-1!}{2!} \\[7pt]
\ = \frac{3!}{2!} \\[7pt]
\ = \frac{6}{2} \\[7pt]
\ = 3 }$


Table of Contents
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2.statistics analysis of variance

3.statistics arithmetic mean

4.statistics arithmetic median

5.statistics arithmetic mode

6.statistics arithmetic range

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8.statistics best point estimation

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11.statistics blackscholes model

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13.statistics central limit theorem

14.statistics chebyshevs theorem

15.statistics chisquared distribution

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17.statistics circular permutation

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20.statistics combination

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23.statistics continuous uniform distribution

24.statistics cumulative frequency

25.statistics coefficient of variation

26.statistics correlation coefficient

27.statistics cumulative plots

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30.statistics data collection questionaire designing

31.statistics data collection observation

32.statistics data collection case study method

33.statistics data patterns

34.statistics deciles statistics

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36.statistics exponential distribution

37.statistics f distribution

38.statistics f test table

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

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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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65.statistics negative binomial distribution

66.statistics normal distribution

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73.statistics poisson distribution

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86.statistics range rule of thumb

87.statistics rayleigh distribution

88.statistics regression intercept confidence interval

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90.statistics reliability coefficient

91.statistics required sample size

92.statistics residual analysis

93.statistics residual sum of squares

94.statistics root mean square

95.statistics sample planning

96.statistics sampling methods

97.statistics scatterplots

98.statistics shannon wiener diversity index

99.statistics signal to noise ratio

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

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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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