A data of n observations (n is odd number) is arranged in descending order, then which observation represents median?
A) [ (n/2)th + 1] observation
B) ( n/2)th observation
C) \(\frac{n+1}{2}^{th}\) observation
D) \(\frac{n-1}{2}^{th}\) observation
1 Answers
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The mean of 5 observations is 4.4 and their variance is 8.24. If three of the observations are 1, 2 and 6, find the other two observations.
Correct Answer - 4 and 9
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The mean score of 25 observations is 80 and the mean score of another 55 observations is 60. Determine the mean score of the whole set of observations
Correct Answer - 66.25
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Median of the data 5,8, 9, x, 11, 13 is 9.5 (given that data is arraned in ascending order) then x is
Correct option is (C) 10 Number of observations is n = 6 (even) \(\therefore\) Median = Average of \(\frac n2th\) observation and \((\frac n2+1)^{th}\) observation \(=\frac{9+x}2\) \(\therefore\) \(\frac{9+x}2\) = 9.5 \((\because\) Median = 9.5 (given)) \(\Rightarrow\) 9+x = 9.5 \(\times\) 2 = 19 \(\Rightarrow\) x = 19 -...
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Median of the data 5,8, 9, x, 11, 13 is 9.5 (given that data is arraned in ascending order) then x is
2 Answers
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The median of n observations arranged in ascending order when n is even
Correct option is (C) average of and n/2 + n/2 + 1 observations When n is even then median of n observations arranged in ascending order is average of \((\frac{n}{2})^{th}\) and \((\frac{n}{2} + 1)^{th}\)...
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The median of n observations arranged in ascending order when n is even
2 Answers
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If each observation of the data 5, 6, 8, 10, 12, 14, 14, 15, 16, 20 is multiplied by 2, then median of new data is ……………….
Correct option is (B) 26 Observations after multiplied by 2 are 10, 12, 16, 20, 24, 28, 28, 30, 32, 40 Median \(=\frac12(5^{th}+6^{th})\) observations \(=\frac12(24+28)\) = 26 \(\therefore\) Median of new data is 26.
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If each observation of the data 5, 6, 8, 10, 12, 14, 14, 15, 16, 20 is multiplied by 2, then median of new data is ……………….
2 Answers
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AM of 8 observations is 30. One observation 30 is deleted from the data then the new mean is ………………….
Correct option is B) 30
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AM of 11 observations is 17.5 and one observation 15 is deleted from the data them the mean of remaining observations is………
Correct option is A) 17.75
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