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The Arithmetic Mean and Mode of a Data Are 24 and 12 Respectively, Then Its Median is - Mathematics

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Question

The arithmetic mean and mode of a data are 24 and 12 respectively, then its median is

Options

  • 25

  • 18

  • 20

  • 22

MCQ
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Solution

Given: Mean = 24 and Mode = 12

We know that

Mode = 3Median − 2Mean

⇒ 12 = 3Median − 2 × 24

⇒ 3Median = 12 + 48 = 60

⇒ Median = 20

Hence, the correct option is (c).

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Chapter 15: Statistics - Exercise 15.8 [Page 68]

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RD Sharma Mathematics [English] Class 10
Chapter 15 Statistics
Exercise 15.8 | Q 25 | Page 68
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