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
c. the unit for sample variance would be
d. the unit for population variance would be

Explanation:

Step1: Recall unit - standard deviation

Standard deviation is the square - root of variance. Since the data is in grams, the unit of both sample and population standard deviation is grams (g).

Step2: Recall unit - variance

Variance is the square of the standard deviation. So if the standard deviation has a unit of grams (g), the unit of both sample and population variance is square - grams ($g^{2}$).

Answer:

a. g
b. g
c. $g^{2}$
d. $g^{2}$