Question

sigma fi =15 , sigma fixi = 3p +36 and mean of any distribution is 3 then p =?<br /><br />2,3,4,5

Answer 1

Given,

Sigma fi = 15

Sigma fixi = (3p+36)

Mean = 3

To find,

The value of p.

Solution,

The value of p will be 3.

We can easily solve this problem by following the given steps.

We know that the formula to find the mean is given as follows:

Mean = Sum of all the observations/total number of observations

But when observations are given in a frequency table then the formula becomes:

Mean = Sigma fixi/sigma fi

(Note that this method is called the direct method.)

According to the question,

Sigma fi = 15

Sigma fixi = (3p+36)

Mean = 3

3 = (3p+36)/15

Using the cross multiplication method,

3×15 = 3p+36

45 = 3p+36

3p+36 = 45

Moving 36 from the left-hand side to the right-hand side will result in the change of sign from plus to minus,

3p = 45-36

3p = 9

p = 9/3

p = 3

Hence, the value of p is 3.

Answer 2

Answer:

p=3

sigmafixi÷sigmafi=mean