Which of the following is a continuous random variable?

c. The time a person can hold his/her breath

a. The number of recovered patients of COVID-19 per province

b. The number of students with Academic Excellence in a school per district

d. The mother's age of each student in the class

This is a graphical presentation of the frequency distribution table in the form of a vertical bar graph.

c. Frequency Distribution Table

Which of the following questions is answerable using a statistical process?

d. How tall is a typical Filipino?

a. Is planet Mars bigger than planet Earth?

b. How long did you sleep last night?

Which of the following is an example of discrete variable?

b. amount spent in pesos on food in one week

Which of the following is an example of quantitative variable?

a. number of family members who are working

d. highest educational attainment

Which of the following is a discrete random variable?

c. Amount of sugar used in a cup of coffee

Which of the following is NOT a discrete random variable?

a. number of head to appear when tossing 3 coins

c. monthly family income in pesos

What is the formula for mean of discrete random variable, denoted by σ, where μ is the mean and p(x) is the probability of the outcome?

c. $$\mu=\left(X\right)P\left(x\right)$$

a. $$\mu=\left(\mu-x\right)^2P\left(x\right)$$

b. $$\mu=\left(x-\mu\right)^2P\left(x\right)$$

d. $$\mu=\left(X^2\right)P\left(x\right)$$

This describes the variability of the items in a data set.

b. Variance of discrete random variable

a. Mean of discrete random variable

c. standard deviation of discrete random variable

d. Summation of discrete random variable

It is the central value or average of its corresponding probability mass function. It is also called the expected value.

a. Mean of discrete random variable

b. Variance of discrete random variable

c. standard deviation of discrete random variable

d. Summation of discrete random variable

What is the formula for variance, denoted by $$\sigma^2$$ , where μ is the mean and p(x) is the probability of the outcome?

b. $$\sigma^2=\left(x-\mu\right)^2P\left(x\right)$$

a. $$\sigma^2=\left(\mu-x\right)^2P\left(x\right)$$

c. $$\sigma^2=\left(X\right)P\left(x\right)$$

d. $$\sigma^2=\left(X^2\right)P\left(x\right)$$

Get the samples needed for each category using stratified random sampling: There are 200 members who are teenagers, 180 members who are young adults, 230 members who are middle aged, and 150 senior citizens. The researchers want to get 150 respondents out of these organizations. Match the given with the corresponding number of samples. (Round off your answers to whole numbers)

Number of sample for Young adults

Number of sample for Middle aged

Number of sample for Senior citizens

STATISTICS AND PROBABILITY Midterm Review

Authored by elca lisbe

Mathematics

11th Grade

CCSS covered

Used 2+ times

STATISTICS AND PROBABILITY Midterm Review

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48 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A characteristic that is observable or measurable in every unit of the universe.

a. Variable

b. Population

c. Universe

d. Sample

Tags

CCSS.6.SP.B.5B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

It is a science that studies data to be able to make a decision.

a. Probability

b. Physical Science

c. Earth and Life Sciences

d. Statistics

Tags

CCSS.HSS.IC.B.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A random variable that can take infinitely uncountable number of possible values, typically measurable quantities.

a. continuous variable

b. discrete variable

c. probability

d. probability distribution

Answer explanation

There are two types of quantitative variable: Discrete and Continuous. Discrete variables are countable and in whole numbers while continuous can be measured and can be expressed in decimals

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

It is a way to map outcomes of a statistical experiment determined by chance into number.

a. random variable

b. variable

c. probability

d. probability distribution

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following is an example of qualitative variable?

a. total family income

b. amount of time last week you spent using the internet

c. occupation of a person

d. amount spent in pesos on food in one week

Answer explanation

Qualitative variables can be categorized. Out of the four questions, only the occupation of a person can be categorized.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following is a property of probability distribution of discrete variable?

a. Probabilities should be confined between 0 and 2

b. The sum of all the probabilities should be 100

c. Probabilities should be confined between 0 and 1

d. The sum of all the probabilities should be 2

Answer explanation

The sum of probabilities should add up to 1 or 100%, not 100 or 2.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

It is a subgroup of a universe or of a population.

a. Variable

b. Population

c. Universe

d. Sample

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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STATISTICS AND PROBABILITY Midterm Review

A characteristic that is observable or measurable in every unit of the universe.

It is a science that studies data to be able to make a decision.

A random variable that can take infinitely uncountable number of possible values, typically measurable quantities.

There are two types of quantitative variable: Discrete and Continuous. Discrete variables are countable and in whole numbers while continuous can be measured and can be expressed in decimals

It is a way to map outcomes of a statistical experiment determined by chance into number.

Which of the following is an example of qualitative variable?

Qualitative variables can be categorized. Out of the four questions, only the occupation of a person can be categorized.

Which of the following is a property of probability distribution of discrete variable?

The sum of probabilities should add up to 1 or 100%, not 100 or 2.

It is a subgroup of a universe or of a population.

Refer to the given probability distribution where Y is the number of pets a student has at home. What is the probability of selecting a student having 3 pets?

Looking at the table, the percentage for the random variable 3 is 25%

It is referred to as a set of all possible values of a variable.

Population is a set of all possible values of a variable while a Sample is a set of all possible outcomes that can occur

The Engineering Department of Palompon did a listing of all buildings in their locality. If you are planning to gather the characteristics of these buildings, what is the universe in this data gathering activity?

The population of a study does not always refer to a person, it could be inanimate objects. In this case, the buildings are which the researcher will get the characteristics in their study.

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