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: Units for standard deviation

Standard deviation is the square root of variance. Since the original data is in grams, the unit for both sample and population standard deviation is grams.

Step2: Units for variance

Variance is the square of standard deviation. If standard deviation has unit grams (\(g\)), then variance has unit \(g^2\) (grams squared).

Answer:

a. grams (\(g\))
b. grams (\(g\))
c. grams squared (\(g^2\))
d. grams squared (\(g^2\))