Questions
The variance of the numbers 2, 3,11 and x is.find the value x .
a
6,143
b
6,145
c
6,163
d
None of these
detailed solution
Correct option is A
From given data, we make the following tableBut we know that, variance =Σx2n−Σxn2⇒ 134+x24−16+x42=494⇒ 134+x24−256+x2+32x16=494⇒ 3x2−32x+28016=494⇒ 280+3x2−32x=494×16⇒ 280+3x2−32x=196⇒ 3x2−32x+84=0⇒ (x−6)(3x−14)=0⇒ x=6,x=143Therefore, the values of x are 6 and 143.Talk to our academic expert!
Similar Questions
The following information relates to a sample of size . The variance is
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