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The arithmetic mean and mode of a data are 24 and 12 respectively, then find the median of the data. - Mathematics

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प्रश्न

The arithmetic mean and mode of a data are 24 and 12 respectively, then find the median of the data.

थोडक्यात उत्तर

उत्तर

Given that the arithmetic mean and mode of a data are 24 and 12 respectively. That is,

MEAN = 24 

MODE = 12

We have to find median

We know that

MODE = 3 × MEDIAN - 2 × MEAN

⇒ 12 = 3 × MEDIAN - 2 ×  24 

⇒ 3 × MEDIAN = 12 +(2 × 24) 

⇒ 3 × MEDIAN = 12+ 48 

⇒ 3 × MEDIAN = 60

⇒ MEDIAN = `60/3`

⇒ MEDIAN = 20

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पाठ 24: Measures of Central Tendency - Exercise 24.5 [पृष्ठ २१]

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आरडी शर्मा Mathematics [English] Class 9
पाठ 24 Measures of Central Tendency
Exercise 24.5 | Q 9 | पृष्ठ २१

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