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3, 8, 10, X, 14, 16, 18, 20 Are in the Ascending Order and Their Median is 13. Calculate the Numerical Value of X. - Mathematics

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प्रश्न

3, 8, 10, x, 14, 16, 18, 20 are in the ascending order and their median is 13. Calculate the numerical value of x.

योग

उत्तर

3, 8, 10, x, 14, 16, 18, 20 is already in ascending order
Here N = 8

∴ `("N"/2)^"th"`term

= `(8/2)`
= 4th term
= x

`("N"/2 + 1)^"th"`term

= 4 + 1
= 5th term
= 14
Given, median = 13

∴ `(x + 14)/(2)` = 13

∴ x + 14
= 13 x 2
= 26
⇒ x
= 26 - 14
= 12.

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अध्याय 22: Statistics - Exercise 22.3

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 22 Statistics
Exercise 22.3 | Q 18

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