What does ΣX represent in a frequency distribution?

What does ΣX represent in a frequency distribution?

• A. The sum of all X values
• B. The count of data entries
• C. The product of X and f
• D. The sum of squared X values

Answer: (A)

ΣX represents the total of all X values across every observation. In a frequency distribution, each X value occurs f times, so the overall sum is obtained by summing X for each occurrence, which is captured by adding X times its frequency across categories (often written as Σ fX). This total is what you’d use, for example, when you compute the mean by dividing by the total number of observations N = Σ f. So the correct interpretation is that it’s the sum of all X values. The other ideas describe different quantities: the count of data entries is the total frequency, the product Xf is the contribution of a single category to the sum, and the sum of squared X values is ΣX^2, used for variance calculations.

ΣX represents the total of all X values across every observation. In a frequency distribution, each X value occurs f times, so the overall sum is obtained by summing X for each occurrence, which is captured by adding X times its frequency across categories (often written as Σ fX). This total is what you’d use, for example, when you compute the mean by dividing by the total number of observations N = Σ f. So the correct interpretation is that it’s the sum of all X values. The other ideas describe different quantities: the count of data entries is the total frequency, the product Xf is the contribution of a single category to the sum, and the sum of squared X values is ΣX^2, used for variance calculations.