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Sasha carries out a survey in which she asks her friends to name their favorite style of eggs. Here are the answers:

hard-boiled, soft-boiled, soft-boiled, scrambled, over easy, scrambled, over easy, hard-boiled, hard-boiled, over easy, soft-boiled, scrambled.
Which statement is true?(1 point)
Responses

The dataset has no modes.
The dataset has no modes.

The only mode of the dataset is scrambled.
The only mode of the dataset is scrambled.

The dataset has exactly two modes: scrambled and hard-boiled.
The dataset has exactly two modes: scrambled and hard-boiled.

The only mode of the dataset is over easy.

1 answer

To determine the modes of the dataset, we need to count the frequency of each response:

  • hard-boiled: 3
  • soft-boiled: 3
  • scrambled: 3
  • over easy: 3

Since every style has the same highest frequency of occurrence (3), the dataset has multiple modes.

Therefore, the correct statement is: The dataset has exactly two modes: scrambled and hard-boiled.

However, this statement says "exactly two modes" when there are actually four modes. So based on the frequency counts, none of the provided statements is correct.

If we were to revise the options, they would include a statement that reflects that all four (hard-boiled, soft-boiled, scrambled, over easy) are modes of the dataset. Given the current options, none is accurate.