Arithmatic Mean
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Measures of central tendency include the mode, median, mean, geometric mean, and harmonic mean. The arithmetic mean is the sum of all values divided by the sample size. The geometric mean is the nth root of the product of n values. The harmonic mean is equal to the sample size divided by the sum of the reciprocals of the values. The median is the middle value when observations are ranked from smallest to largest. The mode is the value that occurs most frequently in the sample.
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Measures of central tendency
The document discusses different measures of central tendency including the mean, median, and mode. The mean is the average value and considers all scores, but can be impacted by outliers. The median is the middle value when scores are arranged in order and is less impacted by outliers. The mode is the most frequently occurring value and can be used for both numerical and categorical data, but may not always indicate the true central tendency. Each measure has advantages and limitations, and different measures are better suited for certain types of data distributions.
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The document discusses different measures of central tendency including the mean, median, and mode. It provides formulas and examples for calculating each measure. The mean is the average value and is calculated by summing all values and dividing by the total number. The median is the middle value when values are arranged in order. The mode is the value that appears most frequently in a data set.
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The document discusses different measures of central tendency including the mean, median, and mode. It provides formulas and examples for calculating each measure. The mean is the average value and is calculated by summing all values and dividing by the total number. The median is the middle value when values are arranged in order. The mode is the value that appears most frequently in a data set.
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Arithmatic Mean
- 3. Measures of Central Tendency Presented to, Dr. Muhammad Sarwar Presented by, Syeda Mehvish Dildar
- 4. Measure Comment Mode Median Arithmetic Mean Geometric Mean Harmonic Mean Nominal and Higher Ordinal and Higher Interval and Higher Ratio and Higher Ratio and Higher
- 5. Central Tendency The phrase measures of central tendency, refers to the set of measures that reflect where on the scale the distribution is centered.
- 6. The Arithmetic Mean The arithmetic mean, is defined as the sum over all of the values of a variable, divided by the sample size.
- 7. The Geometric Mean The geometric mean, is defined as the n-th root of the product of a set of n values.
- 8. The harmonic mean Defined The harmonic mean, H, is equal to the sample size divided by the sum of the reciprocal of a set of values:
- 9. Median The median is the middle value when the observations on a variable are ranked from smallest to largest.
- 10. The position of the median value can then be calculated using the following formula: Median Location=
- 11. • If the values are an even number of data points: (1,2,2,3,3,4,4,5,6,) •The formula would tell us to look in the 5.5th place, which we can’t really do. •However we take the average of 5th and 6th values to give us the median. Median= 3.5
- 12. The statistical Mode method The mode is the value of a variable that occurs most frequently in the sample.