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If observation of some data as follows:22, 11, 20, 13, 19.What is the difference between median and mean of given observation?1. 2.52. 23. 3.54. 3 |
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Answer» Correct Answer - Option 2 : 2 Given: 11, 13, 19, 20, 22 Concept used: First, we have to arrange the given data as ascending order then we have to see how many numbers of data (n) is given If n is odd then, Median = [(n+1)/2]th term If n is even then, Median = [(n/2)th term + {(n/2) + 1}th term]/2 Mean = (Sum of observation)/(Total number of observation) Calculation: 11, 13, 19, 20, 22 Median = [(n+1)/2]th term ⇒ Median = (6/2)th term ⇒ Median = 3rd term ⇒ Median = 19 Mean = (Sum of observation)/(Total number of observation) ⇒ Mean = (11 + 13 + 19 + 20 + 22)/5 ⇒ Mean = 85/5 ⇒ Mean = 17 Required difference = Median - Mean ⇒ Required difference = 19 - 17 ⇒ Required difference = 2 ∴ The difference between median and mean of given observation is 2. |
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