Find the value of p,if mean of following distribution is 20.
X 15 17 19 20+p 23
Y 2 3 4 5p 6
by simple observation,
the x's increase by 2 , so 20+p = 21
thus p=1
which lets the y's increase nicely by 1
Cal the xi fi and fixi then the total.
Put the values in the formula of mean.since mean is given!! More easier and the final result comes as P=1 .Hence done!!!!
Good
To find the value of "p" that makes the mean of the distribution equal to 20, we need to use the formula for finding the mean of a distribution. The mean is calculated by summing up all the values in the distribution and dividing by the total number of values.
In this case, we are given the values of X and Y, and we need to find the value of "p". The mean of the distribution is given as 20, so we can set up the equation:
(15 + 17 + 19 + (20 + p) + 23) / 5 = 20
Simplifying the equation:
(74 + p) / 5 = 20
Now, let's solve for "p":
Multiply both sides of the equation by 5 to eliminate the fraction:
74 + p = 20 * 5
74 + p = 100
Subtract 74 from both sides:
p = 100 - 74
p = 26
Therefore, the value of "p" that makes the mean of the distribution equal to 20 is 26.