Variance of the numbers 3, 7, 10,18, 22 is equal to

Question

Variance of the numbers 3, 7, 10,18, 22 is equal to (A) 12 (B) 6.4 (C) √49.2  (D) 49.2

Tardigrade Admin · Accepted Answer

The mean of the given items barx = (3+7+10+18+22/5) = 12 Hence, variance = (1/n) ∑ (xi - barx )2 = (1/5) (3-12)2+(7-12)2+(10-12)2+(18-12)2+ (22-12)2 = (1/5) 81 + 25 + 4 + 36 + 100 =(246/5) =49.2

Q. Variance of the numbers 3, 7, 10,18, 22 is equal to

12

6.4

$49.2$

49.2

Q. Variance of the numbers 3, 7, 10,18, 22 is equal to

12

6.4

49.2​

49.2

The mean of the given items xˉ=53+7+10+18+22​=12 Hence, variance =n1​∑(xi​−xˉ)2 =51​{(3−12)2+(7−12)2+(10−12)2+(18−12)2+(22−12)2} =51​{81+25+4+36+100}=5246​=49.2

$49.2$