Statistics and Data Analysis Quiz

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Questions and Answers

What is the midrange of the foot lengths in the provided data?

  • 9.9 inches
  • 9.5 inches
  • 9.2 inches (correct)
  • 8.7 inches

Why is the mode of the given data set 9.2 inches?

  • It is the most frequently occurring value in the dataset. (correct)
  • It is the sum of all the values in the dataset.
  • It is the average of all the values in the dataset.
  • It is the middle value when the dataset is sorted.

What is the median foot length of the women in the study?

  • 9.5 inches
  • 8.9 inches
  • 9.2 inches (correct)
  • 9.1 inches

Why might the statistics from this study be less representative of the current population of women in the military?

<p>The data is from 1988, so the average foot lengths of women in the military might have changed since then. (C)</p> Signup and view all the answers

What is the mean foot length of women in the study?

<p>9.2 inches (B)</p> Signup and view all the answers

Flashcards

Mode

The value that appears most frequently in a data set.

Mean

The average value calculated by adding all data points and dividing by the number of points.

Median

The middle value in a sorted data set.

Midrange

The average of the highest and lowest values in a data set.

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Statistical Representation

The extent to which data accurately reflects a larger population.

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Study Notes

Data Analysis

  • Foot Lengths of Women: The given data represents foot lengths (in inches) of randomly selected women.

  • Sample Year: The data was collected in 1988.

  • Mode: The mode is 9.2 inches.

  • Midrange: The midrange is 9.2 inches.

Representativeness of Statistics

  • Current Population: The statistics from 1988 may not represent the current population of all women in the military. Past data usually isn't directly representative of the present.

  • Random Sample: The sample may still be considered representative if it is a random sample and substantial in size (greater than 10, in this case).

  • Gender Representation: The fact that the sample only includes women, and not men, suggests it is not representative of the broader population which should ideally include men, too.

  • Sampling Method: The method used to select the women in the sample is important. If the selection was not truly random, the results may not accurately represent the actual population.

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