Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

Compute the means of two small samples.

Find the medians of two sets of data.

Calculate the mean, range, and variance of a small sample.

Find the modes of two small samples.

Compute the standard error of a sample mean, given the sample size and standard deviation.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

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Some questions on descriptive statistics: mean, mode, median, range, variance, standard error.

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Asks students to compute conditional probabilities based on a frequency table.

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

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Just one question on computing a confidence interval for the population mean, given a small sample.

Given that $\displaystyle \int x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$, find $g(x)$.

Identifying the correct rule to use

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

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Basic introduction to statistics

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