If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?

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NDA (Held On: 18 Apr 2021) Maths Previous Year paper
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  1. 10
  2. 12
  3. 13
  4. 15

Answer (Detailed Solution Below)

Option 4 : 15
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Detailed Solution

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Concept:

The mode of the n observation is the number that has the highest frequency.

Calculation:

Given scores 10, 12, 13, 15, 15, 13, 12, 10, x and mode = 15

Frequency of score '12' = 2

Frequency of score '15' = 2

As Mode = 15, its frequency has to be more than 2, if the value of x = 15

Then the frequency of score 15 = 3 & is highest.

So, x should be '15'

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