Question 1

Which of the following best defines a parameter?

Accepted Answer

A numerical value that describes an entire population.

Answer

A variable that is not measured in research.

Answer

A number that is always estimated using probability.

Answer

A numerical value calculated from a sample.

Question 2

In the given scenario, the average income of the 50 selected employees is an example of which concept?

Accepted Answer

Statistic

Answer

Population

Answer

Variable

Answer

Parameter

Question 3

Which of the following is an example of a parameter?

Accepted Answer

The average height of all students in a school.

Answer

The proportion of students who passed an exam.

Answer

The mean test score of a sample of 100 students.

Answer

The average height of 50 randomly selected students in a school.

Question 4

How does a statistic differ from a parameter in research?

Accepted Answer

A statistic describes a sample, while a parameter describes a population.

Answer

A statistic is a fixed value, while a parameter changes depending on the sample.

Answer

A statistic and a parameter are always equal in value.

Answer

A statistic describes a population, while a parameter describes a sample.

Question 5

A survey is conducted to estimate the average daily screen time of high school students in a city. Researchers collect data from 500 randomly selected students. What type of measure is the calculated average?

Accepted Answer

A statistic

Answer

A constant

Answer

A variable

Answer

A parameter

Question 6

Which situation describes a parameter rather than a statistic?

Accepted Answer

A government report states that 60% of the total population has internet access.

Answer

A researcher finds that the average income of 1,000 sampled workers is ₱20,000.

Answer

A teacher analyzes the exam scores of her 30 selected students.

Answer

A study reports that 45% of surveyed college students prefer online classes.

Question 7

Which situation best illustrates a parameter?

Accepted Answer

A government agency reports that the official inflation rate for the country is 4%.

Answer

A researcher determines that 1,000 selected drivers spend ₱5,000 monthly on fuel.

Answer

A school survey shows that 85% of 300 students prefer modular learning.

Answer

A study finds that the average age of 500 sampled doctors is 40 years.

Question 8

What is the primary purpose of using a parameter in research?

Accepted Answer

To describe characteristics of an entire population.

Answer

To manipulate data for better results.

Answer

To analyze data from a small sample.

Answer

To estimate statistics based on partial data.

Question 9

Which of the following statements is true regarding parameters and statistics?

Accepted Answer

Parameters are fixed values that describe populations, while statistics can vary based on sample selection.

Answer

Statistics are always more accurate than parameters.

Answer

Parameters are always greater than statistics.

Answer

Statistics describe entire populations while parameters describe samples.

Question 10

What does the Central Limit Theorem state about the sampling distribution of the sample means as the sample size increases?

Accepted Answer

It becomes approximately normally distributed regardless of the population distribution.

Answer

It remains exactly the same as the population distribution.

Answer

It becomes a uniform distribution.

Answer

It becomes skewed to the right.

Question 11

If you take multiple random samples of the same size from a population and calculate the mean of each sample, what is the term for the distribution of these means?

Accepted Answer

Sampling distribution of the sample means

Answer

Population distribution

Answer

Frequency distribution

Answer

Sample distribution

Question 12

Why does the sampling distribution of the sample means tend to be normal as stated by the Central Limit Theorem?

Accepted Answer

Because the averaging of independent observations leads to a normal distribution.

Answer

Because every sample automatically forms a normal distribution regardless of size.

Answer

Because all underlying population distributions are normal.

Answer

Because the sample size does not affect the shape of the distribution.

Question 13

If a population is normally distributed, what can be said about the sampling distribution of the sample means for any sample size?

Accepted Answer

It is also normally distributed.

Answer

It will be uniform regardless of sample size.

Answer

It will be skewed regardless of sample size.

Answer

It will be bimodal regardless of sample size.

Question 14

What happens to the shape of the sampling distribution of the sample means if we increase the sample size, assuming the population is not normally distributed?

Accepted Answer

It becomes more normally distributed.

Answer

It becomes more skewed.

Answer

It exactly mirrors the population distribution.

Answer

It becomes a bimodal distribution.

Question 15

What effect does increasing the sample size have on the variability of the sample means in a sampling distribution?

Accepted Answer

The variability decreases.

Answer

The variability stays the same.

Answer

The variability becomes equal to the population variability.

Answer

The variability increases.

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