What is the main feature of a piecewise function?

A piecewise function has one expression for x < 2 and another for x ≥ 2. How many rules are listed?

Let f(x) = x + 4 when x < 3 and f(x) = 2x when x ≥ 3. Find f(6).

Let g(x) = 3x when x < 2 and g(x) = x + 7 when x ≥ 2. What is g(2)?

Let f(x) = 2x + 1 when x < 5 and f(x) = 4x when x ≥ 5. Find f(3).

Let h(x) = x − 2 when x < 0 and h(x) = x² + 1 when x ≥ 0. Find h(−3).

For p(x) = x + 2 when x < 4 and p(x) = 3x when x ≥ 4, which of the inputs 1, 4, and 6 use the second rule?

A ride costs ₱12 for a trip up to 5 km and ₱18 for a trip over 5 km up to 10 km. How do a 4-km and a 7-km trip compare?

Let f(x) = x² when x < 3 and f(x) = 2x + 1 when x ≥ 3. Find f(2).

Let k(x) = 5 − x when x ≤ 1 and k(x) = x + 3 when x > 1. Find k(4).

For g(x) = 2x when x < 6 and g(x) = x + 1 when x ≥ 6, which rule gives g(6)?

Let f(x) = x + 6 when x < 2 and f(x) = 3x when x ≥ 2. Find f(2).

For r(x) = 2x when x < 0 and r(x) = x + 4 when x ≥ 0, which input among −1, 0, and 1 uses the first rule?

For m(x) = x − 1 when x ≤ 3 and m(x) = 2x when x > 3, which input among 2, 3, and 5 uses the second rule?

Let f(x) = x + 1 when x < 5 and f(x) = 2x − 3 when x ≥ 5. Find f(5).

Let t(x) = x + 2 when x < 4 and t(x) = 10 − x when x ≥ 4. Find t(4).

A shuttle charges ₱25 for trips up to 3 km and ₱40 for trips over 3 km up to 6 km. How do 2-km and 5-km trips compare?

A function uses Rule A for x < 2 and Rule B for x ≥ 2. Which rule applies when x = 1.9?

Let r(x) = 2x when x < 0 and r(x) = x + 4 when x ≥ 0. Find r(−2).

In a properly defined piecewise function, what should the conditions ensure for each input in its domain?

What does qualitative data primarily describe?

How are discrete quantitative values usually obtained?

Which is an example of discrete quantitative data?

Which variable is an example of continuous data?

Which level of measurement uses labels that have no natural order?

Ratings of Poor, Fair, Good, and Excellent represent which level of measurement?

Why is temperature in degrees Celsius generally classified as interval data?

Which variable is measured on a ratio scale?

A learner names volleyball as a favorite sport. How is this response classified?

A school records how many days each student was absent. This variable is:

The amount of rainfall measured in millimeters is usually:

Class section names such as Mabini, Rizal, and Bonifacio are measured at which level?

A race result records first place, second place, and third place. What level of measurement is used?

Calendar years are commonly treated as interval data because:

Which variable has a meaningful zero and permits meaningful ratio comparisons?

A runner's time to finish a race is recorded as 12.8 seconds. It is:

A student's blood type is O. How should this variable be classified?

Responses ranging from Very Satisfied to Very Dissatisfied are:

What distinguishes an interval scale from a nominal scale?

Why is 30°C not meaningfully described as twice as hot as 15°C?

Which item is a discrete count?

Which item is continuous quantitative data?

Which of the following is qualitative data?

A survey records agreement as Strongly Disagree, Disagree, Neutral, Agree, and Strongly Agree. This is:

Eye color categories such as brown, blue, and black use which level?

Which variable is nominal rather than ordinal?

The weight of a parcel is measured in kilograms. Which level of measurement applies?

Which is discrete quantitative data?

Which choice is quantitative data?

Why can a continuous measurement include decimal values?

Which statement correctly distinguishes nominal from ordinal data?

Which variable can be measured on a ratio scale?

What does a true zero on a ratio scale indicate?

The number of laptops in a household is best classified as:

Educational levels such as elementary, high school, college, and postgraduate are usually:

Which measure is found by adding all observations and dividing by their count?

Which procedure correctly finds the median?

Which measure identifies the value occurring most often?

Find the mean of 4, 6, 8, and 10.

Find the median of 3, 9, 1, 7, and 5.

Find the median of 2, 6, 8, and 12.

What is the mode of 4, 4, 5, 6, 6, 6, and 8?

Find the mean of 10, 12, and 14.

Find the median of 11, 4, 7, 9, and 3.

For the data 2, 2, 3, 5, 13, which measure is most affected by the unusually high value 13?

The data set is 4, 4, 6, 8, 8. Which value or values are modes?

Every value in a data set increases by 3. What happens to the mean, median, and mode, if present?

A data set includes one very high outlier. Which measure is generally less affected by it?

For the data 3, 5, 5, and 7, which statement is correct?

Find the median of 1, 2, 6, and 9.

What does population variance describe?

How do you obtain population standard deviation from population variance?

Why does the population variance formula divide by N?

Why is standard deviation often easier to interpret than variance?

If every value in a population equals its mean, what is the population variance?

Find the population variance of 1, 3, and 5.

Find the population standard deviation of 1, 1, 5, and 5.

Population A contains 3, 5, 7, while Population B contains 1, 5, 9. Which has the larger population variance?

A population contains 6 observations, and the sum of their squared deviations from the mean is 18. What is the population variance?

The population variance is 16. What is the population standard deviation?

A population contains only the values 9, 9, 9, and 9. What is its standard deviation?

Every value in a population is increased by 5. How does its population variance change?

Every value in a population is multiplied by 3. What happens to the population variance?

A population has a mean of 5. Its values are 3, 5, and 7. What is its population variance?

Find the population variance of 4, 4, 8, and 8.

Find the population standard deviation of 2, 4, 4, and 6. Round to two decimal places.

Find the population variance of 5, 5, 7, and 7.

Which formula is used for population variance when μ is the population mean?

What is the key difference between the population and sample variance denominators?

Two populations have the same mean, but Population X has values closer to that mean. What can be said about their standard deviations?

If the population variance is 2.25, what is the population standard deviation?

Find the population variance of 0, 2, and 4.

What does a larger population standard deviation generally indicate?

Find the population variance of 2, 2, 6, and 6.

For a complete population of 4, 6, and 8, the mean is 6. What is the population variance?

Five learners read 1, 2, 2, 3, and 7 books. Treat them as the whole population. Which set gives mean, median, mode, variance, and standard deviation (rounded to 2 decimals)?

Five students take 2, 4, 4, 6, and 9 minutes to finish a task. Treat these times as the whole population. Which set is correct?

A population has the values 4, 5, 5, and 6. Which set gives the mean, median, mode, population variance, and population standard deviation?

The numbers of tasks completed by five students are 1, 3, 3, 5, and 8. Treat the values as the full population. Which summary is correct?

Five quiz scores are 2, 2, 4, 4, and 8. Treat them as the whole population. Which statement correctly summarizes the data?