Statistical information for a data set is given.
• The mean is 18.1
• The z-score for 13.0 is -1.7
What is the standard deviation for this data set?
f 3.4
g 1.7
h 5.1
j 3.0
Z = (score-mean)/SD
Insert values and solve for SD.
3.4
To find the standard deviation for the data set, we can use the formula:
z-score = (x - mean) / standard deviation
Given that the z-score for 13.0 is -1.7, we can substitute these values into the formula:
-1.7 = (13.0 - 18.1) / standard deviation
Now, we can solve for the standard deviation:
-1.7 * standard deviation = 13.0 - 18.1
-1.7 * standard deviation = -5.1
standard deviation = -5.1 / -1.7
standard deviation = 3.0
Therefore, the standard deviation for this data set is 3.0.