Resources for Analysing Frequency Tables
-
Questions
3
With Worked SolutionClick Here -
Video Tutorials
1
Click Here
Analysing Frequency Tables Theory
![\begin{multicols}{2} \textbf{Example 1}\\ From the data given in the frequency table find:\\ \textbf{i)} The range\\ \textbf{ii)} The mode\\ \textbf{iii)} The median\\ \textbf{iv)} The mean\\ \begin{center} \begin{tabular}{|c|c|} \hline Score & Frequency \\ \hline 4 & 1 \\ \hline 5 & 2 \\ \hline 6 & 3 \\ \hline 7 & 4 \\ \hline 8 & 3 \\ \hline 9 & 2 \\ \hline 10 & 1 \\ \hline \end{tabular} \end{center} \hfill \linebreak \textbf{Example 1 solution}\\ \textbf{i)} \(\begin{aligned}[t] \text { Range } & =\text { highest score }- \text { lowest score } \\ & =10-4 =6 \end{aligned}\)\\ \textbf{ii)} The mode \(=\) score, with highest frequency\\ \(\therefore \text { mode }=7\)\\ \textbf{iii)} Median \(=\) average of the two middle scores of an even number of scores\\ Total number of scores \(=16\)\\[3pt] \(\begin{aligned} \text { Median } & =\frac{8 \text {th }+ 9\text {th score }}{2} \\ & =\frac{7+7}{2}=7 \end{aligned}\)\\[3pt] \textbf{iv)} \(\begin{aligned}[t] \text { Mean } & =\frac{\text { total of scores }}{\text { number of scores }} \\ & =\frac{4+10+18+28+24+18+10}{16}\\ &=7 \end{aligned}\) \columnbreak \textbf{Example 2}\\ From the scores on a test: \begin{center} \(5,5,6,6,6,6,7,7,7,8,8,8,8,8,9,9\) \end{center} set up a frequency table and determine the mean of these scores.\\ \textbf{Example 2 solution}\\ \begin{center} \begin{tabular}{|c|c|c|} \hline Score (x) & Frequency (f) & \(\mathrm{fx}\) \\ \hline 5 & 2 & 10 \\ \hline 6 & 4 & 24 \\ \hline 7 & 3 & 21 \\ \hline 8 & 5 & 40 \\ \hline 9 & 2 & 18 \\ \hline & 16 & 113 \\ \hline \end{tabular} \end{center} \hfill \linebreak \(\begin{aligned} \bar{x}&=\frac{113}{16} \\ \bar{x}&=7.1 \end{aligned}\) \end{multicols}](/media/ja3aapbx/9224.png)
NSW Y8 Maths Investigating Data Analysing Frequency Tables
Videos
Videos relating to Analysing Frequency Tables.
-
Analysing Frequency Tables - Video - Analysing Frequency Tables
You must be logged in to access this resource
Plans & Pricing
With all subscriptions, you will receive the below benefits and unlock all answers and fully worked solutions.
-
Teachers TutorsFeaturesFreeProAll ContentAll courses, all topicsQuestionsAnswersWorked SolutionsSystemYour own personal portalQuizbuilderClass ResultsStudent ResultsExam RevisionRevision by TopicPractise ExamsAnswersWorked SolutionsAwesome StudentsFeaturesFreeProContentAny course, any topicQuestionsAnswersWorked SolutionsSystemYour own personal portalBasic ResultsAnalyticsStudy RecommendationsExam RevisionRevision by TopicPractise ExamsAnswersWorked Solutions