mean of the following data is 20 then find p
Answers
Answer:
Step-by-step explanation:
Refer to the attachment and
Note: replace the -5p square with +5p square
Answer:
The value of p = 1 for the given data whose mean is 20.
Step-by-step explanation:
- Given data is
x 15 17 19 20+p 23
f 2 3 4 5p 6
and also mean of the data = 20
from the following data, we have to find Σf and Σfx.
Σf = 2+3+4+5p+6 = 15+5p
Σfx = 2(15)+3(17)+4(19)+5p(20+p)+6(23)
= 30+51+76+100p+5p²+138
= 295+100p+5p²
Since, Mean = Σfx/Σf
20 = (295+100p+5p² )/(15+5p)
20(15+5p) = (295+100p+5p²)
20(3+p) = (59+20p+p²)
60+20p = 59+20p+p²
p²+20p-20p+59-60 = 0
p²-1 = 0
p² = 1
p = 1
Hence the value of p =1 for the given data.
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