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?

<p>It tends to align more closely with theoretical probability. (C)</p> Signup and view all the answers

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

<p>Experimental trials collect data differently each time. (A)</p> Signup and view all the answers

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

<p>It is based on repeated experimental observation. (D)</p> Signup and view all the answers

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

<p>It is the denominator in the relative frequency formula. (C)</p> Signup and view all the answers

What happens to relative frequency as more trials are conducted?

<p>It tends to approach the theoretical probability. (B)</p> Signup and view all the answers

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

<p>The event occurred in 75% of the trials conducted. (C)</p> Signup and view all the answers

Which of the following statements is true regarding relative frequency?

<p>It may vary between different sets of trials. (B)</p> Signup and view all the answers

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

<p>The number of positive outcomes from the trials (D)</p> Signup and view all the answers

In what scenario is relative frequency considered an empirical probability?

<p>When the experiment is conducted multiple times (B)</p> Signup and view all the answers

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

<p>It may significantly deviate from theoretical probability (B)</p> Signup and view all the answers

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

<p>Relative frequency becomes more stable as the number of trials increases (D)</p> Signup and view all the answers

Why might relative frequency yield different results in repeated experiments?

<p>It is influenced by the random nature of experimental outcomes (A)</p> Signup and view all the answers

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