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 ▼ options: s, σ, s², σ²

Explanation:

• Part a: In statistics, the symbol for the sample standard deviation is \( s \). This is a well - known notation where \( s \) is used to represent the standard deviation calculated from a sample of data.
• Part b: The symbol for the population standard deviation is \( \sigma \). When we are dealing with the entire population (not just a sample), \( \sigma \) is the standard notation for the standard deviation.
• Part c: The sample variance is denoted by \( s^{2} \). Variance is the square of the standard deviation, and for a sample, we use \( s^{2} \) to represent it.
• Part d: The population variance is represented by \( \sigma^{2} \). Since variance is the square of the standard deviation, for the entire population, we square the population standard deviation symbol \( \sigma \) to get \( \sigma^{2} \).

Answer:

a. The symbol for sample standard deviation is \( s \).
b. The symbol for population standard deviation is \( \sigma \).
c. The symbol for sample variance is \( s^{2} \).
d. The symbol for population variance is \( \sigma^{2} \).