Asked by savya
A summary of 24 observations of x gave the following information:
∑(x − a) = −73.2 and ∑(x − a)2 = 2115.
The mean of these values of x is 8.95.
(i) Find the value of the constant a.
(ii) Find the standard deviation of these values of x
∑(x − a) = −73.2 and ∑(x − a)2 = 2115.
The mean of these values of x is 8.95.
(i) Find the value of the constant a.
(ii) Find the standard deviation of these values of x
Answers
Answered by
oobleck
(i) ∑x - 24a = 24*8.95 - 24a = -73.2
Now use this value of a to get
∑(x-a)^2 = ∑x - 2a∑x + 24a^2 = (24a-73.2) - 2a(24a-73.2) + 24a^2 = 2115
Now you can find a
(ii) review the formula for std and plug in your numbers.
Now use this value of a to get
∑(x-a)^2 = ∑x - 2a∑x + 24a^2 = (24a-73.2) - 2a(24a-73.2) + 24a^2 = 2115
Now you can find a
(ii) review the formula for std and plug in your numbers.
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