Statistics and Probability Continuous and Discrete, Lecture notes of Mathematics

Statistics and Probability Continuous and Discrete

Typology: Lecture notes

2019/2020

Uploaded on 09/26/2020

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LESSON 1 and 2
A variable is a quantity whose value changes
A discrete variable is a variable whose value is obtained by
counting.
Examples: number of students present students’ sections
number of red balls in a jar
number of heads when flipping 3 coins
Contextualized/Localized Page 1
COMPETENCY: DISTINGUISH DISCRETE AND CONTINUOUS
RANDOM VARIABLE
Activity:
Anton, a grade 11 student in St. Patrick School joins the try out for
varsity team in basketball. He wants to prove that his height of 5’3
will not be a hindrance for being accepted in the varsity team. He
was able to shoot the ball outside the 3-point area 5 times out of
10 attempts. Do you think Anton will become a varsity player? Why
or Why not?
MATHEMATICAL CONCEPTS
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LESSON 1 and 2

A variable is a quantity whose value changes A discrete variable is a variable whose value is obtained by counting. Examples: number of students present students’ sections number of red balls in a jar number of heads when flipping 3 coins

COMPETENCY: DISTINGUISH DISCRETE AND CONTINUOUS

RANDOM VARIABLE

Activity: Anton, a grade 11 student in St. Patrick School joins the try out for varsity team in basketball. He wants to prove that his height of 5’ will not be a hindrance for being accepted in the varsity team. He was able to shoot the ball outside the 3-point area 5 times out of 10 attempts. Do you think Anton will become a varsity player? Why or Why not? MATHEMATICAL CONCEPTS

A continuous variable is a variable whose value is obtained by measuring. Examples: height of students in class Weight of students in class Time it takes to get to school A random variable is a variable whose value is a numerical outcome of a random phenomenon.  A random variable is denoted with a capital letter  The probability distribution of a random variable x tells what the possible values of X and how probabilities are assigned to those values.  A random variable can be discrete or continuous. Materials: tape measure, empty tin can, ping pong balls Procedures:

  1. Measure the height of each member in the group.
  2. Get the length of an arm when it is stretched.
  3. Make a jump shot and measure its height from the ground.
  4. Using an empty can and a ping pong ball, count the number of shoot/missed made by each member considering the distance of 5 meters away from the tin can. Each member will be given 5 attempts to shoot.
  5. Record the results in table 1 below. TABLE 1 Activities Member Member Member Member Member

Activity: My Ideal Basketball Player

APPLICATION

Direction: Classify the following statements as Discrete or Continuous. Justify your answer for each classification.

Number of siblings Cost of pair of shoes

Dimensions of lap top Class sections

Learners Reference Number Number of hours spent in social media

Bags of sugar Height of a giraffe

Electrical consumption Age of your mother

Weight of a new born baby Telephone bill

Class size Page number

Body temperature Jeepney fare

Height of a flag pole Daily allowance

Population of Grade 11 students BMI of a student