Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if the variance of a variable is 121, what is the standard deviation? (…

Question

if the variance of a variable is 121, what is the standard deviation? (this is a reading assessment question. be certain of your answer because you only get one attempt on this question.) the standard deviation is \boxed{}. (type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Recall variance-std dev relation

Standard deviation is the square root of variance, so $\text{Standard Deviation} = \sqrt{\text{Variance}}$

Step2: Substitute variance value

Substitute variance = 121: $\text{Standard Deviation} = \sqrt{121}$

Step3: Calculate the square root

$\sqrt{121} = 11$

Answer:

11