Find the value of p, when the mean of the following distribution is 20.
x | f |
---|---|
15 | 2 |
17 | 3 |
19 | 4 |
20 + p | 5p |
23 | 6 |
x | f | xifi |
---|---|---|
15 | 2 | 30 |
17 | 3 | 51 |
19 | 4 | 76 |
20+p | 5p | 100p + 5p2 |
23 | 6 | 138 |
It is given that
Mean = 20
We know that
Mean = Σ fi xi/ Σ fi
So we get
(5p2 + 100p + 295)/ (15 + 5p) = 20
On further calculation
5p2 + 100p + 295 = 300 + 100p
So we get
5p2 = 5
By division
p2 = 1
By taking square root
p = 1
Therefore, the value of p is 1.
Lido
Courses
Quick Links
Terms & Policies
Terms & Policies