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Find the Median of the Following Data (1-8) 83, 37, 70, 29, 45, 63, 41, 70, 34, 54 - Mathematics

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Question

Find the median of the following data (1-8)

83, 37, 70, 29, 45, 63, 41, 70, 34, 54

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Solution

Given numbers are
83, 37, 70, 29, 45, 63, 41, 70, 34, 54
Arrange the numbers is ascending order
29, 34, 37, 41, 45, 54, 63, 70, 70, 83
n = 10 (even)

∴  Median = `(n^(th)/2 value + (n/2 +1)^(th)value)/2`

                =`(10^(th)/2 value + (10/2                        +1)^(th)value)/2`

                = `(5^(th) value + 6^(th) value)/2`

                 =   ` (45 + 54)/2 = 99/2 = 49.5`

                  

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Chapter 24: Measures of Central Tendency - Exercise 24.3 [Page 18]

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RD Sharma Mathematics [English] Class 9
Chapter 24 Measures of Central Tendency
Exercise 24.3 | Q 1 | Page 18
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