Question

How is the standard deviation calculated from a frequency table?

Answer 1

The standard deviation for a frequency table can be calculated using the formula: Standard deviation = √(∑(f * (x -
`mean)^2)` / ∑f).

Step-by-step explanation:

The standard deviation for a frequency table can be calculated using the formula:

Standard deviation = √(∑(f * (x -
`mean)^2) / ∑f)`

where f is the frequency of each value in the table, x is the value, and mean is the mean of the frequency table. To find the standard deviation, first calculate the mean of the frequency table by multiplying each value by its frequency, summing these products, and dividing by the total frequency. Then, subtract the mean from each value, square the differences, multiply them by their respective frequencies, sum these products, divide by the total frequency, and take the square root of the result.