Home
Class 12
MATHS
Consider the frequency distribution, whe...

Consider the frequency distribution, where A is a positive interger : variance is 160.
`{:("x",A,2A,3A,4A,5A,6A),("f",2,1,1,1,1,1):}`.

Text Solution

Verified by Experts

The correct Answer is:
C

`therefore sigma^(2)=(sum f_(i)x_(i)^(2))/(n)-((sum f_(i)x_(i))/(n))^(2)`
`implies 160=(92 A^(2))/(7)-((22 A)/(7))^(2)`
`implies 160=(92A^(2))/(7)-(484 A^(2))/(49)`
`implies 160=(644-484)(A^(2))/(49)`
`implies 160=(160 A^(2))/(49)`
`implies A^(2)=49`
`therefore A=7`
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    CENGAGE ENGLISH|Exercise Exercise 11.1|5 Videos

  • STATISTICS

    CENGAGE ENGLISH|Exercise Exercise 11.2|6 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE ENGLISH|Exercise Comprehension Type|6 Videos

  • STRAIGHT LINE

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|8 Videos

Similar Questions

Explore conceptually related problems

The frequency distribution for x is an given below. What is the range of f? {:(x,f),(0,1),(1,5),(2,4),(3,4):}

If a binomial distribution has mean 2.4 and variance is 1.44, then n=

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):}

The median for the following frequency distribution is : {:(x_(i) " :",1,2,3,4,5,6,7,8,9),(f_(i)" :",8,10,11,16,20,25,15,9,6):}

The mean of the following frequency distribution is 50 Find f1 f2 f3 if f2 : f3 = 4 : 3:

Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is 1.46. No. of accident (x), 0, 1 , 2 , 3, 4, 5 , Total Frequency is 200 and no. of days (f): 46 , ? , ? , 25 , 10 , 5

In the following frequency distribution : {:(x,0,1,3,5,6,8,10),(f,2,6,7,21,19,15,3):} The mode is

There are 60 students in a class. The following is the frequency distribution of marks obtained by the students in a test: Marks:, 0, 1, 2, 3, 4, 5 Frequency , x-2 , x , x^2 , (x+1)^2 , 2x , x+1 . Determine mean and standard deviation of the marks.

The following values represent the number of cars owned by the 20 families on Pearl Street. 1,1,2,3,2,5,4,3,2,4,5,2,6,2,1,2,4,2,1,1 This can be expressed in frequency distribution format as follows : {:(x,"The number of families having x number of cars"),(1,5),(2,7),(3,a),(4,3),(5,b),(6,1):} What are the value of a and b, resepectively?

Consider the function f(x)={2x+3,xlt=1-x^2+6,x >1