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Finding the best measure for central tendency

CC.HSS.CP.A.2

Probability of independent events

Multiplication rule for 

Multiplication rule for "AND"

Multiplication Rule for "AND"

auto-gen

CC.HSS.CP.A.3

Conditional probability

CC.HSS.CP.A.5

Comparing experimental and theoretical probability

comparing experimental and theoretical probability

CC.HSS.CP.B.7

Addition rule for 

Addition Rule for "OR"

Addition rule for "OR"

CC.HSS.CP.B.9

Permutations

Combinations

Probability involving permutations and combinations

CC.HSS.IC.A.1

Sampling methods

Sampling Methods

CC.HSS.IC.A.2

Sampling distributions

Understanding Proportions and Sample Size

Rare event rule

The Rare Event Rule for the Central Limit Theorem

CC.HSS.IC.B.3

Census and bias

Census and Bias

Classifying Bias

CC.HSS.IC.B.4

Margin of error

Margin of Error

Making a confidence interval

Confidence intervals to estimate population mean

CC.HSS.IC.B.5

Traditional hypothesis testing

Traditional Mean Hypothesis Testing

P-value hypothesis testing

Proportion Hypothesis Testing

Analysis of variance (ANOVA)

CC.HSS.IC.B.6

Influencing factors in data collection

CC.HSS.ID.A.1

Frequency distribution and histograms

Equation of the best fit line

The determinant of a 2 x 2 matrix

CC.HSS.ID.A.2

Median and mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

Median of an odd length list

Mean

Mean Word Problems

Find the Mean

Application of Means

Range and outliers

Range and Outlier Word Problems

Outlier Word Problems

Range Word Problems

Find the Range

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

CC.HSS.ID.A.3

Application of averages

Measures of Central Tendency — Word Problem

Find the Means — Data Tables

Find Mean and Mode — Data Table

Identify Outliers — Data Table

Shapes of distributions

CC.HSS.ID.A.4

Introduction to normal distribution

The Normal Distribution and the 68-95-99.7 Rule

Using "invNorm" to Solve Normal Distribution Problems

Normal distribution and continuous random variable

Z-scores and random continuous variables

CC.HSS.ID.B.5

Reading and drawing Venn diagrams

Probability with Venn diagrams

CC.HSS.ID.B.6

Reading and drawing line graphs

Reading Line Graphs

Bivariate, scatter plots and correlation

CC.HSS.MD.A.1

Probability distribution - histogram, mean, variance & standard deviation

CC.HSS.MD.A.2

Properties of expectation

Properties of Expectation and Variance

Properties of Expectation

CC.HSS.MD.A.3

Binomial distribution

Binomial Distribution

Mean and standard deviation of binomial distribution

Interpreting Mean and Standard Deviation of Binomial

CC.HSS.MD.B.7

Type 1 and type 2 errors

Type 1 and Type 2 Errors

Statistics and Probability

math

Ex.1

Ex.2

Ex.3

Choosing a measure of central tendency to motivate a runner

Finding the mean and median of a gift collection data set

Identifying an outlier by plotting gift collection data on a graph

Choosing the best measure of central tendency with outliers

Choosing mode as the best measure for boot size sales data

Finding mean and mode boot sizes from a frequency table

Similar to previous sections about median and mode, and mean, in this section we practice calculating the median, mode, and mean of given data sets in word problems. The mean, median, and mode are measures of central tendency.  A measure of central tendency is a value that represents the centre of a set of data. Also, in this section, we are given data sets in word problems and asked to figure out which measure of central tendency best describes the data. The mode is the best measure of central tendency for data that represents frequency of choice. In contrast, the median is the best measure if a data set contains unusually large or small numbers in relation to the rest of the data. Finally, either the median or mean can be used as a measure of central tendency if all of the numbers in a set of data are close together.  

Application of Averages

Application of averages

What You'll Learn

Calculate mean by summing data values and dividing by the total count

Identify the median as the middle value in ordered data sets

Recognize the mode as the most frequently occurring value in a data set

Determine which measure of central tendency best describes given data

Identify outliers and understand their impact on mean versus median

What You'll Practice

Computing mean, median, and mode from word problem data sets

Identifying outliers by plotting data points on number lines or graphs

Choosing appropriate measures of central tendency for real-world contexts

Solving problems with frequency tables and categorical data

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

6 Video lessons

Practice exercises

Skills

Mean

Median

Mode

Central Tendency

Outliers

Data Analysis

Word Problems