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First arrange the given numbers in ascending order writer these numbers in ascending order
3011, 2780, 3020, 2354, 3541, 4150, 5000
we get 2354, 2780, 3011, 3020, 3541, 4150, 5000
Clearly, the middle number is median, 3020
Calculation of mean Deviations
Clearly, the middle observations are 46 and 48. So, median = 47
We have,
Σ|xi - 47| = Σdi = 86
Arranging the observations in ascending order of magnitude, we have
Clearly, the middle observations are 42 and 44. So, median = 43
Σ|xi - 43| = Σdi = 87
Clearly, the middle observation are 28 and 29. So median = 28.5
Calculation of mean Deviation
Σ|xi - 28.5| = Σdi = 47
Clearly, the middle observation is, So, median = 47.5
Calculation of Mean Deviation
Σ|xi - 47.5| = Σdi = 84
Σ|xi - 10| = Σi = 24
Σ|xi - 14| = Σdi = 28
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Chapter 32: Statistics – Exercise 32.6...
Chapter 32: Statistics – Exercise 32.7...
Chapter 32: Statistics – Exercise 32.4...
Chapter 32: Statistics – Exercise 32.5...
Chapter 32: Statistics – Exercise 32.3...
Chapter 32: Statistics – Exercise 32.2...