Final answer:
To determine the average and sample standard deviation for the given frequency distribution, use the formulas for mean and standard deviation.
Step-by-step explanation:
To determine the average and sample standard deviation for the given frequency distribution, we need to use the formulas for mean and standard deviation. The average, or mean (X), can be calculated by summing the product of each value and its corresponding frequency, and then dividing by the total number of values.
The sample standard deviation (Sx) can be calculated by finding the square root of the sum of the squared differences between each value and the mean, divided by the total number of values minus 1. Use the following information as a reference and calculate the average and sample standard deviation.
i. X = (Sum of values * Frequency) / Total number of values
ii. Sx = Square root of [(Sum of (values - X)^2 * Frequency) / (Total number of values - 1)]
iii. n = Total number of values