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26, x + 4, x + 2 and 18 are in descending order of their values and their median is 20, then the value of x is ______.

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Question

26, x + 4, x + 2 and 18 are in descending order of their values and their median is 20, then the value of x is ______.

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  • 19

  • 17

  • 15

  • 13

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Solution

26, x + 4, x + 2 and 18 are in descending order of their values and their median is 20, then the value of x is 17.

Explanation:

Since there are 4 observations in descending order, the median is the average of the 2nd and 3rd terms: `((x + 4) + (x + 2))/2 = x + 3`. Equating this to the given median of 20 gives x + 3 = 20, which results in x = 17.

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Chapter 18: Mean and Median [For Ungrouped Data Only] - TEST YOURSELF [Page 267]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 18 Mean and Median [For Ungrouped Data Only]
TEST YOURSELF | Q 1. (d) | Page 267
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