Question

Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measurements is 36. What is the standard deviation from the mean?

Answer 1

Answer:

6mm is your answer :)

Step-by-step explanation:

Answer 2

Answer:

The Standard deviation obtained from the mean will be 6

To find:

Standard deviation from the mean = ?

Solution:

Bryant collects a set of 20 data representing the worm’s lengths he identified and obtained in his garden. The variance is given as 36 obtained from the set of measurements.  

$\text { Variance } = ( \text { Standard deviation } ) ^ { 2 }$

Let Standard deviation be x, then

$\begin{array} { c } { \text {Variance} = x ^ { 2 } } \\\\ { 36 = x ^ { 2 } } \\\\ { ( 6 ) ^ { 2 } = x ^ { 2 } } \\\\ { x = 6 } \end{array}$

Hence, Standard deviation from the mean = 6