Question

The following data are the final exams scored on the 13th student in a small calculus class

Answer 1

The following data set for the final exam score in a calculus class

(a) The data set represents a sample data

(b) Range

$\begin{gathered} \text{Range = Highest mark - Lowest mark} \\ \text{Range = 98-60} \\ \text{Range = 38} \end{gathered}$

(c) Variance

$\text{Variance = }\frac{\sum ^{}_{}(x-\bar{x})^2}{n}=\frac{2796.36}{13}=215.105$

(d) Standard Deviation

$\begin{gathered} S\mathrm{}D\text{ = }\sqrt[]{variance} \\ S\mathrm{}D\text{ = }\sqrt[]{215.105} \\ S\mathrm{}D\text{ = }14.666 \end{gathered}$