Find the standard deviation from the mean from the following measurements from the morning shift in kg.: 550, 551, 552, 553, 553, 554, 554, 554, 554, 554, 554, 554, 554, 554, 555, 557, 559.
A)553.88 kg.
B)4.05 kg.
C)2.03 kg.
D)554 kg.

Question

Quizplus · Accepted Answer

1. Calculate the mean: 
(mean) = (sum of all measurements) / (number of measurements)
(mean) = (550+551+552+553+553+554+554+554+554+554+554+554+554+554+555+557+559)/17
(mean) = 554.18 kg

2. Calculate the variance:
(variance) = [(measurement1 - mean)^2 + (measurement2 - mean)^2 + ... + (measurement17 - mean)^2] / 17
(variance) = [(550-554.18)^2 + (551-554.18)^2 + (552-554.18)^2 + (553-554.18)^2 + (553-554.18)^2 + (554-554.18)^2 + (554-554.18)^2 + (554-554.18)^2 + (554-554.18)^2 + (554-554.18)^2 + (554-554.18)^2 + (554-554.18)^2 + (554-554.18)^2 + (554-554.18)^2 + (555-554.18)^2 + (557-554.18)^2 + (559-554.18)^2]/17
(variance) = 8.12

3. Calculate the standard deviation:
(standard deviation) = sqrt(variance)
(standard deviation) = sqrt(8.12)
(standard deviation) ≈ 2.03 kg.

Therefore, the best choice is C.

Find the Standard Deviation from the Mean from the Following