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75 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Mean (Individual Series) |
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Average |
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Discrete Mean |
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Continuous Mean |
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Combined Mean |
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Correcting incorrect mean values |
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The sum of deviations of the items from AM [total X- Xbar] = |
0 because X bar is 'Point of Balance' |
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The sum of squared deviations of the items from AM is [Total X- X bar] |
Minimum |
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Median of individual series |
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Median of Continuous series |
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The sum of the deviations of the items from Median, ignoring signs is |
Least |
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Extreme values do not affect ..... As strongly as they do affect ...... |
Median, Mean |
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..... Refers to that value which occurs most often in the data |
Mode |
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For continuous series mode is |
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Mode = |
3 Median - 2 Mean |
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Symmetrical distribution |
Mean = Median = Mode |
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Asymmetrical distribution (Positively skewed) |
Mean > Median > Mode |
Right tail hand side |
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Asymmetrical distribution (Negatively skewed) |
Mean < Median < Mode |
Left tail hand side |
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Relationship between AM, GM and HM |
AM > GM > HM |
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Relationship between AM, GM and HM |
AM * HM = GM² |
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X bar = |
(a + b) /2 |
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GM |
√ab |
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HM |
2ab/ a+b |
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GM is most frequently used in the determination of .., |
Average percent of change |
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....... Is the measure of the variation of items |
Dispersion |
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....... Is scatter, spread or variation |
Dispersion |
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Dispersion gives an average of the difference of various items from an average, they are called |
Average of 2nd order |
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Variability |
Dispersion |
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Dispersion are expressed in the same statistical unit in which the original data are given such as kg, rupees, tonnes, etc |
Absolute variation/dispersion |
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Dispersion are expressed as ratio of a measure of absolute dispersion to an appropriate average |
Relative variation/dispersion which is also called as coefficient of Dispersion |
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Range and quartile deviations are ........ measures because they depend on the values at a particular position in the distribution. |
Positional |
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The average (mean, standard deviation) are called .......... because all of the values are employed in their calculations. |
Calculation |
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Range |
Absolute measure L - S |
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Coefficient of range |
Relative measure (L - S)/ (L + S) |
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Quartile deviation |
(Q3 - Q1) / 2 |
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Coefficient of quartile deviation |
(Q3 - Q1) / (Q3 + Q1) |
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Average difference between the items in a distribution and the mean or median of that series |
Mean or average deviation |
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There is an advantage in taking the deviation from Median because sum of deviations of items from Median is ....... when signs are ...... |
Minimum, Ignored |
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Mean deviation= |
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Coefficient of mean deviation |
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Standard deviation |
Karl Pearson 1823 |
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Standard deviation of individual series |
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Variance |
(SD)² |
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....... enables us to determine where the values of a frequency distribution are located. |
Standard Deviation |
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Mean +- 1 sigma |
68.27% |
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Mean +- 2 sigma |
95.45% |
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Mean +- 3 sigma |
99.73% |
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QD = |
2/3 sigma |
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MD |
4/5 sigma |
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Coefficient of variance is a ....... Measure of dispersion |
Relative |
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..... Coefficient of Variation is preferred |
Less/ low as it is more consistent |
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Coefficient of variance |
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Skewness |
Direction of variation or extent of skewness |
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Absolute skewness |
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Karl Pearson's coefficient of skewness |
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Bowleys coefficient of skewness |
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Kelly's coefficient of skewness |
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Arithmetic mean |
U1 (mew1) |
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Variance |
U2 (mew2) |
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Skewness |
U3 (mew3) |
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Kurtosis |
Measures the peakedness or flatness of distribution |
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Kurtosis |
U4 (mew 4) |
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...... is a specific quantitative (statistical) measurement used to describe the various characteristics of a distribution |
Moments |
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1st moment u1 |
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2nd Moment U2 |
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3rd Moment U3 |
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4th Moment U4 |
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Beta 1 B1 |
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Beta 2 B2 |
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Pink curve is? |
Leptokurtic |
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Yellow curve is? |
Mesokurtic |
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Green curve is? |
Platykurtic |
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Mesokurtic |
Beta 2 = 3 Gamma 2 = 0 |
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Leptokurtic |
Beta 2 > 3Gamma 2 > 0 |
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Platykurtic |
Beta 2 < 3Gamma 2 < 0 |
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Measure of kurtosis |
Gamma 2 = Beta 2 - 3 |
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