Question

Juana weighed a sample of 12 jumbo eggs. Here are their weights (in grams):

67, 67, 68, 69, 69, 70,
71, 71, 71, 72, 72, 73

The mean is x =70 grams

Which of these formulas gives the standard deviation?

Answer 1

The formula for standard deviation is S = sqrt((1/n) * sum((x - mean)^2)). The standard deviation measures the amount of variation or dispersion in a set of data.

Step-by-step explanation:

The formula for calculating the standard deviation is: S = sqrt((1/n) * sum((x - mean)^2))

Where S is the standard deviation, n is the sample size, x is each individual data point, and mean is the mean of the data.

In this case, the sample mean is 70 grams. To calculate the standard deviation, plug in the values into the formula and calculate the sum of squared differences from the mean:

1. Subtract the mean from each data point: 67-70, 68-70, 69-70, ..., 73-70.
2. Square each difference.
3. Add up all the squared differences.
4. Divide the sum by the sample size minus one (n-1).
5. Take the square root of the result.