Home
Class 12
MATHS
If the mean of the distribution is 2.6, ...

If the mean of the distribution is 2.6, then the value of y is
`{:("Variate x",1,2,3,4,5),("Frequency f of x",4,5,y,1,2):}`

A

24

B

13

C

8

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Mean`=(underset(i=1)overset(n)(sum f_(i)x_(i)))/(underset(i=1)overset(n)(sum f_(i)))`
`therefore 2.6=(1xx4+2xx5+3xxy+4xx1+5xx2)/(4+5+y+1+2)`
`implies 31.2+2.6y=28+3y`
`implies 0.4y=3.2`
`implies y=8`
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    CENGAGE|Exercise JEE Previous Year|10 Videos

  • STATISTICS

    CENGAGE|Exercise Exercise 11.2|6 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE|Exercise Comprehension Type|6 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

Similar Questions

Explore conceptually related problems

Consider the frequency distribution, where A is a positive interger : {:("x",A,2A,3A,4A,5A,6A),("f",2,1,1,1,1,1):}

The standard deviation of the following frequency distribution is {:(X,2,3,4,5,6,7),(f,4,9,16,14,11,6):}

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

Express each of the following equations in the form of ax + by + c = 0 and write the values of a, b and c. (i) 3x + 4y = 5 (ii) x - 5 = sqrt3y (iii) 3x = y (iv) x/2+y/2=1/6 (v) 3x - 7 = 0

If (x+3+1, y-2/3)=(5/3, 1/3) , find the values of x and y.

Find the equations of tangent and normal to the parabola x^(2)+6x+4y+5=0 at (1, -3)

Find the equations of tangent and normal to the parabola y^(2)+6y+4x+5 at (-3,1) .

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

Find the equations of tangent and normal to the parabola x^(2)+6x+4y+5=0 at (1,-3) .

CENGAGE-STATISTICS-Exercise (Single)
  1. when tested the lives (in hours) of 5 bulbs were noted as follows 13...

    Text Solution

    |

  2. Following are the marks obtained by 9 student in a mathematics test ...

    Text Solution

    |

  3. If the mean of the distribution is 2.6, then the value of y is {:("V...

    Text Solution

    |

  4. If the mean of the set of numbers x1,x2, x3, ..., xn is barx, then the...

    Text Solution

    |

  5. The harmonic mean of 4,8,16 is

    Text Solution

    |

  6. The AM of the nnumbers x(1),x(2)......x(n) is M. If x(1) is replaced b...

    Text Solution

    |

  7. The following data give the distribution of heights of students : {:...

    Text Solution

    |

  8. For a slightly asymmetric distribution, mean and medain are 5 and 6, r...

    Text Solution

    |

  9. Runs scored by a batsman in 10 innings are : 38, 70,48,34,42,55,63,46,...

    Text Solution

    |

  10. If mu us the mean of distribution {y(1),f(1)}, then sumf(1)(i(1)-mu) ...

    Text Solution

    |

  11. The range of the following set of observations 2,3,5,9, 8, 7, 6, 5, 7,...

    Text Solution

    |

  12. If each observation of a raw data whose variance is sigma is multiplie...

    Text Solution

    |

  13. If a variable x takes values 0,1,2,..,n with frequencies proportional ...

    Text Solution

    |

  14. Variance of the data 2,4,6,8,10 is

    Text Solution

    |

  15. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

  16. For a given distribution of marks, the mean is 35.16 and its standard ...

    Text Solution

    |

  17. The mean and S.D of 1, 2, 3, 4, 5, 6 is

    Text Solution

    |

  18. The standard deviation of 25 numbers is 40. If each of the numbers in ...

    Text Solution

    |

  19. Consider any set of observations x(1),x(2),x(3),..,x(101). It is given...

    Text Solution

    |

  20. For (2n+1) observations x(1), x(2),-x(2),..,x(n),-x(n) and 0, where al...

    Text Solution

    |