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If the Mean of the Following Distribution is 2.6, Then the Value Of Y Is - Mathematics

MCQ

If the mean of the following distribution is 2.6, then the value of y is

Variable (x): 1 2 3 4 5
Frequency 4 5 y 1 2

Options

  • 3

  • 8

  • 13

  • 24

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Solution

Consider the following table.

Variable (x) f fx
1 4 4
2 5 10
3 y 3y
4 1 4
5 2 10
  `sumf = 12 + y` `sumfx = 28 + 3y`

Now,

`"mean" = (sumfx)/(sumf)`

`2.6/1 = (28 + 3y)/(12+y)`

`31.2  + 2.6y = 28 +3y`

    `3y - 2.6y = 31.2 - 28`

              `0.4y = 3.2`

                   `y = (3.2)/(0.4)`
                = 8

Hence, the correct option is (b).

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Q 11 | Page 67
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