Presentation And Analysis
Aperçu
A specimen Extension paper shows a cumulative frequency graph somebody has drawn from a table of examination marks and asks for two criticisms of it. Not for a calculation, not for a value: for two things the person did wrong. The answers the mark scheme wants are that one cumulative total should be 48 rather than 46, and that the points should be plotted at the ends of the class intervals. That is what this topic is really about: handling data correctly enough that the picture you draw tells the truth.
You will classify data as qualitative, discrete or continuous and as grouped or ungrouped, extract data from printed tables and lists, design and use two-way tables, produce the full range of charts and diagrams from tally charts and pictograms to frequency polygons and histograms with equal class intervals, and calculate the median, mean, range, mode and modal class. On the Extension Tier you add histograms with unequal class intervals, cumulative frequency diagrams, box plots, quartiles, the inter-quartile range and percentiles.
Objectifs
- [Core] understand and use qualitative, discrete and continuous data, including grouped and ungrouped data
- [Core] extract data from printed tables and lists
- [Core] design and use two-way tables for grouped and ungrouped data
- [Core] produce charts and diagrams for various data types; scatter graphs, stem-and-leaf, tally charts, pictograms, bar charts, dual and composite bar charts, pie charts, line graphs, frequency polygons, histograms with equal class intervals
- [Extension] histograms with unequal class intervals, cumulative frequency diagrams, box plots
- [Core] calculate median, mean, range, mode and modal class
- [Extension] quartiles and inter-quartile range and percentiles
Carte mentale
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Cartes memoire
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Note de cours
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Évaluation de la leçon
Félicitations, vous avez terminé la leçon sur Presentation And Analysis. Maintenant que vous avez exploré le concepts et idées clés, il est temps de mettre vos connaissances à l'épreuve. Cette section propose une variété de pratiques des questions conçues pour renforcer votre compréhension et vous aider à évaluer votre compréhension de la matière.
Vous rencontrerez un mélange de types de questions, y compris des questions à choix multiple, des questions à réponse courte et des questions de rédaction. Chaque question est soigneusement conçue pour évaluer différents aspects de vos connaissances et de vos compétences en pensée critique.
Utilisez cette section d'évaluation comme une occasion de renforcer votre compréhension du sujet et d'identifier les domaines où vous pourriez avoir besoin d'étudier davantage. Ne soyez pas découragé par les défis que vous rencontrez ; considérez-les plutôt comme des opportunités de croissance et d'amélioration.
- Here are seven numbers: 13, 6, 12, 7, 6, 4, 8. What is the range? A. 6 B. 7 C. 8 D. 9 Answer: D
- Which of these is continuous data? A. Shoe size B. Number of goals scored C. The mass of a parcel D. Favourite colour Answer: C
- On a histogram with unequal class intervals, what does the vertical axis show? A. Frequency B. Cumulative frequency C. Frequency density D. Class width Answer: C
- On a cumulative frequency diagram, where should the points be plotted? A. At the midpoint of each class B. At the lower end of each class C. At the upper end of each class D. Anywhere within the class Answer: C
- A class covering 20 < t <= 50 on a histogram has frequency density 1.4. How many values are in the class? A. 1.4 B. 21 C. 30 D. 42 Answer: D
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Livres recommandés
Pour aller plus loin, ressources libres
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Section de manuel
Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
One simple graph, the stem-and-leaf graph or stemplot , comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data into a stem and a leaf. The leaf consists of a final significant digit . For example, 23 ha
"Introductory Statistics: Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/introductory-statistics/pages/2-1-stem-and-leaf-graphs-stemplots-line-graphs-and-bar-graphs. Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
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Section de manuel
Skewness and the Mean, Median, and Mode
Consider the following data set. 4; 5; 6; 6; 6; 7; 7; 7; 7; 7; 7; 8; 8; 8; 9; 10 This data set can be represented by following histogram. Each interval has width one, and each value is located in the middle of an interval. The histogram displays a symmetrical distribution of data. A distribution is
"Introductory Statistics: Skewness and the Mean, Median, and Mode" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/introductory-statistics/pages/2-6-skewness-and-the-mean-median-and-mode. Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
Publiées par d'autres organisations sous licence libre, créditées comme elles le demandent. Les liens ouvrent leurs sites.
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