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The mean of five positive integers is twice their median. If four of the integers are 3, 4, 6, 9 and median is 6, then find the fifth integer - Mathematics

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प्रश्न

The mean of five positive integers is twice their median. If four of the integers are 3, 4, 6, 9 and median is 6, then find the fifth integer

बेरीज

उत्तर

Let the 5th positive integer be x

`bar(x) = (3 + 4 + 6 + 9 + x)/5`

= `(22 + x)/5`

Median = 6

Mean = 2 × median

`(22 + x)/5` = 2 × 6

22 + x = 60

x = 60 – 22

= 38

The fifth integer is 38.

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पाठ 8: Statistics - Exercise 8.2 [पृष्ठ २८४]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 8 Statistics
Exercise 8.2 | Q 6 | पृष्ठ २८४
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