Parameter and Statistic

• True

• False

Given the statement, distinguish if it is a parameter or a statistic. The researcher found out that the 29 senior high school teachers of a certain school spend an average of 2 hours preparing their lessons.

• Parameter

• Statistic

Given the statement, distinguish if it is a parameter or a statistic.

• Parameter

• Statistic

Given the statement, distinguish if it is a parameter or a statistic. The Statistics teacher wants to know the average score of the students in the final exam. He randomly selected 35 students and obtained an average score of 43.

• Parameter

• Statistic

The average test score of all students in a school district is 72. A researcher randomly selects 40 students and finds their average test score is 74.Which of the following statements is correct?

• The statistic is 72, and the parameter is 74.

• The statistic is 74, and the parameter is 72.

• Both 72 and 74 are parameters.

• Both 72 and 74 are statistics.

Answer explanation

The parameter is the true population mean (72), while the statistic is the sample mean (74) calculated from the subset of students.

Which of the following is an example of a parameter?

• The mean income of a random sample of 200 people from a city.

• The median age of a random group of students in a class.

• The average height of all the trees in a national park.

• The variance of scores in a math test taken by 30 students.

Answer explanation

A parameter describes a characteristic of the entire population (e.g., the height of all trees in the park). The other options describe statistics, which are calculated from samples.

A store has 100 employees. A random sample of 5 employees has the following monthly salaries (in P1,000): 3.5, 4.2, 3.8, 4.0, 3.7. What is the sample mean salary?

• P3.5K

• P3.8K

• P3.84K

• P4.0K

The average income of 40 out of 100 households in a certain Barangay is

P 12, 213.00 a month. This statement describes a _____.

• PARAMETER

• STATISTICS

Percentage of red cars in the Philippines. This statement describes a _____.

• PARAMETER

• STATISTICS

A recent survey of a sample of 250 high school students reported the

average weight of 54.3 kg. This statement describes a _____.

• PARAMETER

• STATISTICS