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Differentiate between the following scenarios. Which scenario is an example of a statistic?(1 point) Responses Thirty students were randomly selected from Mrs. Calzada’s group of 158 students. They were asked how many hours they spend watching TV every day. The mean number of hours was 2. Thirty students were randomly selected from Mrs. Calzada’s group of 158 students. They were asked how many hours they spend watching TV every day. The mean number of hours was 2. All the lions at the local zoo were monitored to see how many hours they slept in a day. The mean number was 4. All the lions at the local zoo were monitored to see how many hours they slept in a day. The mean number was 4. The temperature of every person who walked into a local clinic was recorded. The mean temperature was 98.7° F. The temperature of every person who walked into a local clinic was recorded. The mean temperature was 98.7 degrees F. Every worker at the local arcade was asked how many hours they spend listening to music in a day. The mean number of hours was 5.

1 answer

In statistics, a statistic is a numerical value that summarizes a characteristic of a sample, while a parameter summarizes a characteristic of an entire population.

Now, let's analyze the scenarios:

  1. Thirty students were randomly selected from Mrs. Calzada’s group of 158 students. They were asked how many hours they spend watching TV every day. The mean number of hours was 2.

    • This is a statistic because it describes the mean of a sample (the 30 students).

  2. Thirty students were randomly selected from Mrs. Calzada’s group of 158 students. They were asked how many hours they spend watching TV every day. The mean number of hours was 2.

    • This is a repeat of the previous scenario and is also a statistic.

  3. All the lions at the local zoo were monitored to see how many hours they slept in a day. The mean number was 4.

    • This is a parameter because it describes the mean of the entire population of lions at the zoo.

  4. All the lions at the local zoo were monitored to see how many hours they slept in a day. The mean number was 4.

    • This is a repeat of the previous scenario and is also a parameter.

  5. The temperature of every person who walked into a local clinic was recorded. The mean temperature was 98.7° F.

    • This is a parameter because it describes the mean of the entire population of people who walked into the clinic.

  6. The temperature of every person who walked into a local clinic was recorded. The mean temperature was 98.7 degrees F.

    • This is a repeat of the previous scenario and is also a parameter.

  7. Every worker at the local arcade was asked how many hours they spend listening to music in a day. The mean number of hours was 5.

    • This is a statistic because it summarizes the mean from the sample of workers at the arcade.

Conclusion:

The scenarios that are examples of statistics are:

  • The first scenario (30 students mean of 2 hours watching TV).
  • The seventh scenario (mean of 5 hours listening to music by workers at the arcade).