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Grade 10 - Math - LO.2 - Basics Of Statistics

Grade 10 - Math - LO.2 - Basics Of Statistics
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Thursday, May 26, 2022

We have in LO.2 Math G10

First: the Concepts


-Shape, center, spread
-Histogram
-Stemplot
-Dot plot
-Skewed
-Symmetric
-IQR
-Boxplot
-Outliers
-Scatter plot
-Correlation
-Correlation coefficient
-Regression line
-Standard deviation (without frequency)


Second: the References


Starnes, Daren - Tabor, Josh - Yates, Daniel - Moore, David, The Practice of Statistics, New
York: W.H. Freeman, 2015, 5th Edition


Third: the Videos links



Fourth: Skills


-Describe the overall pattern (shape, center, spread) of a distribution and identify any major departures --from the pattern (like outliers).
-Make a histogram, dotplot, boxplot or stemplot to display small sets of data and interpret the data.
-Identify the shape of a distribution (symmetric or skewed) from a dotplot, stemplot, or histograms
-Calculate and interpret measures of center (mean, median) and spread (IQR, standard deviation).
-Use appropriate graphs and numerical summaries to compare distributions of quantitative variables.
-calculate correlation coefficient (Spearman’s rank and Pearson’s linear correlation coefficient)
-find the equation of regression line
-calculate the value of y given x using regression equation


Fifth: the materials as PPT., DOCX., and PDF

In the Drive from this link


Few Notes:


The Five Basic Words of Statistics


The five words population, sample, parameter, statistic (singular), and variable form the basic vocabulary of statistics. You cannot learn much about statistics unless you first learn the meanings of these five words.


1-Population

    CONCEPT All the members of a group about which you want to draw a conclusion.


EXAMPLES All U.S. citizens who are currently registered to vote, all patients treated at a particular hospital last year, the entire daily output of a cereal factory’s production line.


2-Sample

    CONCEPT The part of the population selected for analysis.


EXAMPLES The registered voters selected to participate in a recent survey concerning their intention to vote in the next election, the patients selected to fill out a patient-satisfaction questionnaire, 100 boxes of cereal selected from a factory’s production line.


3-Parameter

    CONCEPT A numerical measure that describes a characteristic of a population.


EXAMPLES The percentage of all registered voters who intend to vote in the next election, the percentage of all patients who are very satisfied with the care they received, the average weight of all the cereal boxes produced on a factory’s production line on a particular day.


4-Statistic

    CONCEPT A numerical measure that describes a characteristic of a sample.


    EXAMPLES The percentage in a sample of registered voters who intend to vote in the next election, the percentage in a sample of patients who are very satisfied with the care they received, the average weight of a sample of cereal boxes produced on a factory’s production line on a particular day. 


INTERPRETATION Calculating statistics for a sample is the most common activity, because collecting population data is impractical for most actual decision-making situations.


5-Variable

    CONCEPT A characteristic of an item or an individual that will be analyzed using statistics.


    EXAMPLES Gender, the household income of the citizens who voted in the last presidential election, the publishing category (hardcover, trade paperback, mass-market paperback, textbook) of a book, the number of varieties of a brand of cereal.


    INTERPRETATION All the variables are taken together form the data of an analysis. Although you may have heard people saying that they are analyzing their data, they are, more precisely, analyzing their variables.


You should distinguish between a variable, such as a gender, and its value for an individual, such as male. An observation is all the values for an individual item in the sample. For example, a survey might contain two variables, gender and age. The first observation might be male, 40. The second observation might be female, 45. The third observation might be female, 55. A variable is sometimes known as a column of data because of the convention of entering each observation as a unique row in a table of data. (Likewise, you may hear some refer to an observation as a row of data.)


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