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The Following Observations Have Been Arranged in Ascending Order. If the Median of the Data is 63, Find the Value of X: 29, 32, 48, 50, X, X + 2, 72, 78, 84, 95 - Mathematics

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प्रश्न

The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x: 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

उत्तर

Total number of observation in the given data is 10 (even number). So median of this data
will be mean of `10/5 i.e , 5^(th) and 10 /2 + 1  i.e,6^(th) observation`

So, median of data  = `(5^(th) observation +6^(th) observation)/2`

⇒ `63 = (x +x+2)/2`

⇒  `63 =(2x +2)/2`

⇒   63 = x +1

⇒    x = 62

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अध्याय 24: Measures of Central Tendency - Exercise 24.3 [पृष्ठ १८]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 24 Measures of Central Tendency
Exercise 24.3 | Q 13 | पृष्ठ १८

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