Question

Imagine that in the measurement of 4.6 cm long metallic cylinder, your measurements in centimeters are (3.0, 3.5, 4.0, 4.5, 5.0, 5.5,6.0). What is the standard deviation of your length measurement in cm?

O 0.8
O 0.1
O 1.08
O 3.0
O 4.5

Answer 1

To calculate the standard deviation of your length measurements, you need to follow these steps: calculate the mean, subtract the mean from each measurement and square the result, find the average of the squared differences, and take the square root of the average.

Step-by-step explanation:

To calculate the standard deviation of your length measurements, you need to follow these steps:

1. Calculate the mean of your measurements. In this case, the mean is (3.0+3.5+4.0+4.5+5.0+5.5+6.0)/7 = 4.5 cm.
2. Subtract the mean from each measurement and square the result.
3. Find the average of the squared differences. In this case, it is [(3.0-4.5)^2+(3.5-4.5)^2+(4.0-4.5)^2+(4.5-4.5)^2+(5.0-4.5)^2+(5.5-4.5)^2+(6.0-4.5)^2]/7 = 1.08 cm^2.
4. Take the square root of the average, which gives you the standard deviation. In this case, it is √1.08 = 1.04 cm.

Therefore, the standard deviation of your length measurements is 1.04 cm.