Categories: All - sampling - distribution - statistics - population

by Brittany Bayuk 8 years ago

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Statistics Chapter 13

The provided material focuses on the interpretation of statistical data and is aimed at elementary teachers and students. It covers key statistical concepts including statistical inference, which involves making judgments about population parameters based on random sampling.

Statistics Chapter 13

Statistics: The Interpertation of Data

The goal of this map is to outline information, ideas, and online games for learning Statistics and Data. The audience for this map is elementary teachers and students.

Statistical Inference with Definitions


the theory, methods, and practice of forming judgments about the parameters of a population and the reliability of statistical relationships, typically on the basis of random sampling.

Z Score


A Z-score is a statistical measurement of a 
score's relationship to the mean in a group of 
scores.

Percentile


Percentile: each of the 100 equal groups into which a population can be divided according to the distribution of values of a particular variable.

Normal Distribution

For a population that has a normal distribution, about 68% falls within 1 standard deviation of the mean, about 95% falls within 2 standard deviations of the mean, and about 99.7% falls within 3 standard deviations.

Random Sample

A Random Sample of size is a subset of individuals from the population chosen in such a way that every such subset has an equal chance of being chosen.

Sample

Sample is a subset of the population.

Population

Population is a particular set of objects about which one desires information.

Measuring the Center and Variations of Data with How to Videos

Box Plot

A box plot, or Box and Whisker Plot, consist of a central bow extending from the lower to the upper quartile, with a line marking the median and line segments, or whiskers, extending outward from the box to the extremes.

Video on creating Box Plot
Outlier

Outlier: in a set of data is a data value that does not seem to makes sense with the rest of the data. A number being very small or very large.

How to find the outliers.
Standard Deviation

Standard Deviation: A measure of the typical deviation from the mean.

Quartiles

Quartiles: casually speaking, these values divide the data set into four sections, each of which contains, in increasing order, about 1/4 of the data.

Lower Quartile: is the median of the first half of the data values.
Upper Quartile: is the median of the last half of the data values.

Video Teaches on the different quartiles of a set of data
Range

Range: the difference between the smallest and largest data values.

Interquartile Range (IQR): is the difference between the upper and the lower quartile.

A teaching video on how to find the range
Mode

Mode: the value that occurs most frequently in a collection of values.

If two or more values occur equally often and more frequently than all other values, there are two or more modes.

Video showing how to find the mode of a data set
Median

Median: the middle value in a collection when the values are arranged in order of increasing size.

Data values are written in order of increasing size,
If the amount of numbers are odd, the median is the middle value in the list.
If the amount of numbers are even, the median is the average of the two middle values.

Video on how to find the median
Mean

Mean: The arithmetic mean, or average.

The formula for mean:
S divided by N
S= the sum of the values
N= the number of values

Video teaching on, how to find the mean

Lessons and Games

Lesson Ideas
Games
Data Analysis
K-2 Practice
Graphs
Mean Median Mode

Organizing and Representing Data

There are a variety of ways to represent data depending on what type of data you have, you will then choose what type of graph to use.

Pictographs

Pictographs are useful in comparing quantities.

Example of books sold
Pie Charts

Pie Charts represents relative amounts to a whole.

Pie Chart Practice
Example using imported fruits
Bar Graph

Bar Graphs use categorical data, where the horizontal scale may be some nonnumerical attribute.

Bar Graph Review
Example of a polled survey.
Line Graphs

Line Graphs can use a variety of data.

Example using average temperatures.
Histograms

Histograms use data that is grouped into intervals.

Example using birth weight of lambs.
Stem and Leaf

Stem and Leaf Plots are also used to summarize relatively small sets of data.

Example using a set of numbers.
Dot Plot

Dot Plots are used to summarize relatively small sets of data.

Dot Plot Creating
Example