MYP Extended Mathematics Topic 8.2 Standard Deviation…

Calculate the sample standard deviation $s_{n-1}$ for the small sample $\{4, 10\}$ .

Group A has $n_1=10$ values with a mean $\mu_1 = 60$ . Group B has values with a mean . Calculate the combined mean when these two groups are merged.

Calculate the population standard deviation $\sigma$ for the dataset $\{1, 3, 8\}$ . Keep exact values for the mean $\mu$ during the calculation.

A small discrete frequency table is shown below:

\begin{array}{|c|c|} \hline x & f \\ \hline 0 & 1 \\ \hline 1 & 3 \\ \hline 2 & 1 \\ \hline \end{array}

Calculate the population standard deviation $\sigma$ for this data.

Fill in the blank: The standard deviation formula $\sigma = \sqrt{\frac{\sum (x-\mu)^2}{n}}$ involves squaring the deviations $(x-\mu)$ primarily to ______.

$\sqrt{\frac{26}{3}}$

$\sqrt{\frac{74}{9}}$

$\frac{\sqrt{26}}{3}$

MYP Extended Mathematics 8.2 Standard Deviation Calculation Questionbank

MYP Extended Mathematics 8.2 Standard Deviation Calculation Questionbank

MYP Extended Mathematics 8.2 Standard Deviation Calculation Questionbank

MYP Extended Mathematics 8.2 Standard Deviation Calculation Questionbank

MYP MYP Extended Mathematics Topic 8.2 Standard Deviation Calculation Questionbank