Calculate the mean of the distribution.

Question

ScanSolve AI Tutor · Accepted Answer

Your work for part B is correct! The median mark is indeed 3.

C) Calculate the mean of the distribution.

Calculate the sum of (score $\times$ frequency) for all scores.
Using the frequency table from part A:
$\begin{array}{|c|c|c|} \hline \textbf{Score (x)} & \textbf{Frequency (f)} & \textbf{fx} \\ \hline 1 & 2 & 1 \times 2 = 2 \\ 2 & 4 & 2 \times 4 = 8 \\ 3 & 7 & 3 \times 7 = 21 \\ 4 & 4 & 4 \times 4 = 16 \\ 5 & 2 & 5 \times 2 = 10 \\ \hline \textbf{Total} & \sum f = 19 & \sum fx = 2+8+21+16+10 = 57 \\ \hline \end{array}$
Calculate the mean using the formula $\bar{x} = \frac{\sum fx}{\sum f}$ .
$\bar{x} = \frac{57}{19}$ $\bar{x} = 3$
The mean of the distribution is $\textbf{3}$ .

Answer