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From the Following Numbers Find the Median: 10, 75, 3, 81, 17, 27, 4, 48, 12, 47, 9, 15. - Mathematics

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Question

From the following numbers find the median:
10, 75, 3, 81, 17, 27, 4, 48, 12, 47, 9, 15.

Sum

Solution

On arranging in ascending order
3, 4, 9, 10, 12, 15, 17, 27, 47, 48, 75, 81
Here, n = 12 which is even
Therefore, median = `(("n"/2)^"th" "term" + ("n"/2 + 1)^"th"  "term")/(2)`

= `((12/2)^"th" "term" + (12/2 + 1)^"th" "term")/(2)`

= `(6^"th" "term"  + 7^"th" "term")/(2)`

= `(15 + 17)/(2)`

= `(32)/(2)` = 16
Median = 16.

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Median of Ungrouped Data
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Chapter 19: Statistics - Formulae Based Questions

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ICSE Mathematics [English] Class 10
Chapter 19 Statistics
Formulae Based Questions | Q 8
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