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
b. the symbol for population standard deviation is
c. the symbol for sample variance is
d. the symbol for population variance is

Explanation:

• For sample standard deviation, the common symbol is \(s\).
• For population standard deviation, the symbol is \(\sigma\) (the Greek letter sigma).
• For sample variance, since variance is the square of standard deviation, the symbol is \(s^{2}\).
• For population variance, it is \(\sigma^{2}\) (square of the population standard deviation symbol).
• Units: Standard deviation has the same units as the original data (grams in this case). Variance has the units of the original data squared (grams squared, \(g^{2}\)).

Answer:

a. \(s\)
b. \(\sigma\)
c. \(s^{2}\)
d. \(\sigma^{2}\)
Units: Standard deviation - grams (\(g\)); Variance - grams squared (\(g^{2}\))