Question

Find sd.

The differences between two sets of dependent data are 0.14, 0.12, 0.15, 0.16, 0.16. Round to the nearest hundredth.
Group of answer choices

Answer 1

The calculated standard deviation is 0.03. To find the standard deviation (sd) of the given data, calculate the mean, calculate the sum of the squared differences, and then use the formula sd = sqrt(sum((x - mean)^2) / (n-1)).

Step-by-step explanation:

To find the standard deviation (sd) of the given data, we can use the formula:

sd = sqrt(sum((x - mean)^2) / (n-1))

where sum represents the sum of the squared differences between each data point and the mean, x is each individual data point, mean is the average of the data points, and n is the number of data points.

First, we find the mean of the given data:

mean = (0.14 + 0.12 + 0.15 + 0.16 + 0.16) / 5 = 0.134

Next, we calculate the sum of the squared differences:

sum = (0.14 - 0.134)^2 + (0.12 - 0.134)^2 + (0.15 - 0.134)^2 + (0.16 - 0.134)^2 + (0.16 - 0.134)^2 = 0.0002282

Finally, we plug the values into the formula:

sd = sqrt(0.0002282 / 4) = 0.03358

Rounding to the nearest hundredth, sd = 0.03.