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Gr 10 Math Ch 11: Relative Frequency

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Questions and Answers

What is the formula for calculating relative frequency?

f = p - t

f = rac{t}{p}

f = rac{p}{t} (correct)

f = p + t

Which statement best describes relative frequency compared to theoretical probability?

Relative frequency is an experimental measure that can vary. (correct)

Relative frequency does not change regardless of the number of trials.

Relative frequency is always equal to theoretical probability.

Relative frequency is only applicable in perfect conditions.

If an event occurs 45 times in 150 trials, what is the relative frequency of the event?

0.20

0.30 (correct)

0.45

0.60

What happens to relative frequency as the number of trials increases?

It tends to align more closely with theoretical probability. Signup and view all the answers

Why might relative frequency differ when an experiment is repeated multiple times?

Experimental trials collect data differently each time. Signup and view all the answers

What is a key characteristic of relative frequency compared to theoretical probability?

It is based on repeated experimental observation. Signup and view all the answers

When calculating relative frequency, what role does the total number of trials play?

It is the denominator in the relative frequency formula. Signup and view all the answers

What happens to relative frequency as more trials are conducted?

It tends to approach the theoretical probability. Signup and view all the answers

If an event shows a relative frequency of 0.75 in an experiment, what can be inferred?

The event occurred in 75% of the trials conducted. Signup and view all the answers

Which of the following statements is true regarding relative frequency?

It may vary between different sets of trials. Signup and view all the answers

What does the variable 'p' represent in the formula for relative frequency?

The number of positive outcomes from the trials Signup and view all the answers

In what scenario is relative frequency considered an empirical probability?

When the experiment is conducted multiple times Signup and view all the answers

How does the relative frequency behave with a limited number of trials?

It may significantly deviate from theoretical probability Signup and view all the answers

Which statement accurately reflects the relationship between trials and relative frequency?

Relative frequency becomes more stable as the number of trials increases Signup and view all the answers

Why might relative frequency yield different results in repeated experiments?

It is influenced by the random nature of experimental outcomes Signup and view all the answers