हिंदी

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

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प्रश्न

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

विकल्प

  • 3

  • 8

  • 13

  • 24

MCQ
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उत्तर

8

Explanation:

Consider the following table:

Variable (x) Frequency
(f)
fx
1 4 4
2 5 10
3 y 3y
4 1 4
5 2 10
  ∑f = 12 + y ∑fx = 28 + 3y

Now, 

Mean = `(sum"fx")/(sum"f")`

`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)`

y = 8

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