Question Type 3: Given a frequency table, calculating the mean, median, modal class and range of the data Exercises

Question 1

The following frequency table shows the marks obtained by a group of students in a test.

\begin{array}{c|c} \text{Class (marks)} & \text{Frequency} \\ \hline 0-9 & 3 \\ 10-19 & 7 \\ 20-29 & 5 \\ 30-39 & 4 \end{array}

Calculate the mean mark. Give your answer correct to two decimal places.

[5]

Question 2

Calculate the median of the data in the following frequency table:

\begin{array}{|c|c|} \hline \text{Class (kg)} & \text{Frequency} \\ \hline 50\text{--}54 & 5 \\ 55\text{--}59 & 8 \\ 60\text{--}64 & 7 \\ 65\text{--}69 & 4 \\ \hline \end{array}

[4]