Asked by Lucas Rands on May 04, 2024
Verified
What is the standard deviation (s) for this set of data? 24, 18, 21, 28
A) 4.27
B) 22.75
C) 18.25
D) 3.70
Data
Information collected for analysis or reference in a structured or unstructured form.
- Gauge the standard deviation for an array of datasets.
Verified Answer
ZK
Zybrea KnightMay 04, 2024
Final Answer :
A
Explanation :
To calculate the standard deviation, we first need to find the mean:
Mean = (24+18+21+28)/4 = 22.75
Next, we need to find the variance:
Variance = [(24-22.75)^2 + (18-22.75)^2 + (21-22.75)^2 + (28-22.75)^2]/4
Variance = 16.1875
Finally, we take the square root of the variance to get the standard deviation:
s = sqrt(16.1875) = 4.27
Therefore, the answer is A) 4.27.
Mean = (24+18+21+28)/4 = 22.75
Next, we need to find the variance:
Variance = [(24-22.75)^2 + (18-22.75)^2 + (21-22.75)^2 + (28-22.75)^2]/4
Variance = 16.1875
Finally, we take the square root of the variance to get the standard deviation:
s = sqrt(16.1875) = 4.27
Therefore, the answer is A) 4.27.
Learning Objectives
- Gauge the standard deviation for an array of datasets.