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The arithmetic mean of a data is 48 and mode is 24 then the median is
  • a)
    40
  • b)
    20
  • c)
    42
  • d)
    50
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The arithmetic mean of a data is 48 and mode is 24 then the median isa...

Calculation of Median:
To find the median of the data, we need to arrange the data in ascending order. Since the mode is 24, we know that 24 occurs most frequently in the data set.

Arranged Data:
Let's assume the data set is {24, 24, 30, 40, 50, 60}. The mode is 24 as it appears most frequently.

Finding Median:
Since the data is arranged in ascending order, the median will be the middle value. In this case, the median is 40, which is the value that separates the higher half from the lower half of the data.

Therefore, the correct answer is option A) 40.
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Community Answer
The arithmetic mean of a data is 48 and mode is 24 then the median isa...
Here Mean = 48; Mode = 24
∴ Mode =  3 Median - 2 Mean
∴ 24 =  3 Median - 2 × 48
⇒ 3 Median = 24 + 96
⇒ Median = 120/3
= 40
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