M6S2 C1 to C3 Review

M6S2 C1 to C3 Review
C1 Introduction to Statistics
C2 Representing Data: Line plot, dot plot and frequency table
C3 Histograms

C1 Intro to Statistics

Statistical and Non-Statistical Questions

Statistical are questions that have more than one possible answer.

For example, 'how many siblings do I have?' is not statistical. The answer will have only one response, not many.

Multiple Choice

Which is a statistical question?

• How old are you?

• How old are the students in Middle School?

Multiple Choice

Which is a statistical question?

• What colors do you prefer for your sports bag?

• What colors do MS students prefer for their sports bag?

Multiple Choice

Which is a statistical question?

• How much are the MS students willing to spend on a high-quality sports bag?

• How much are you willing to spend on a high-quality sports bag?

Multiple Choice

Which is a statistical question?

• How many days per week do MS students typically participate in sports or physical activities?

• How many days per week do you typically participate in sports or physical activities?

A sampling method wherein all members of the population are equally likely to be selected for the sample.

Unbiased Sample

Collection of samples that do not accurately represent the entire group. Respondents are not randomly selected.

Biased Sample

Biased or Unbiased Samples

Multiple Choice

Which is a biased survey question?

• How poor is her performance?

• How would you rate her performance?

Multiple Choice

Which is a biased survey question?

• How likely are you to recommend working with your former group mates?

• What problems do you have with your former group mates?

Multiple Choice

Ten students are asked their opinions about what trash should be collected.

• unbiased

• biased

Multiple Choice

Every 5th student who enters the class is asked to name their favorite sport.

• unbiased

• biased

Multiple Choice

Twenty students are randomly selected to participate in a survey about home computer usage.

• unbiased

• biased

A common method of collecting data.

Survey

Types of Data

Categorical Data

Categorical data can be put in groups or categories using names or labels.
Examples: 1. Which car brand do you like the most? - Mercedes, BMW, Toyota and Audi
2. Are you a middle schooler? Yes or No

Multiple Choice

Which survey question falls in categorical data?

• How many bags do you have?

• Which day does your next birthday falls?

Multiple Choice

Which survey question falls in categorical data?

• How many different colors would you like your sports bag to be available in?

• Which material do you prefer for your sports bag?

Types of Data

Numerical Data

Numerical data are numbers, not words or descriptions.
Examples:
1. How many hours per week do you play badminton? 1, 2, 3, etc.
2. How many siblings do you have? 1, 2, 3, etc.

Multiple Choice

Which survey question falls in numerical data?

• What colors do you prefer for your sports bag? (Select up to three)

• How many times do you typically clean or wash your sports bag in a month?

Multiple Choice

Which survey question falls in numerical data?

• Where do you usually keep your sports bag during school hours?

• How many compartments or pockets would you prefer your sports bag to have for organizing your gear?