Question

identify the symbols used for each of the following: (a) sample standard deviation; (b) population standard deviation; (c) sample variance; (d) population variance. if sample data consist of weights measured in grams, what units are used for these statistics and parameters?
a. the symbol for sample standard deviation is s.
b. the symbol for population standard deviation is σ.
c. the symbol for sample variance is s²
d. the symbol for population variance is σ²
if sample data consist of weights measured in grams, then correctly complete the following sentences.
a. the unit for sample standard deviation would be
b. the unit for population standard deviation would be
c. the unit for sample variance would be
d. the unit for population variance would be

Explanation:

Step1: Understand the units of standard deviation

Standard deviation is the square root of variance. Since the original data (weights) are in grams, the standard deviation (both sample and population) will have the same units as the original data.

Step2: Understand the units of variance

Variance is the square of the standard deviation. If the standard deviation has units of grams, then variance will have units of grams squared.

Answer:

a. grams
b. grams
c. grams²
d. grams²