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In a study of a cohort of 100 babies born at the Royal Children’s Hospital in June 2007, recorded birth-weights included one suspect extreme birth-weight, an outlier, which arose when the lowest birth-weight observed (1.1kgs), was incorrectly recorded as 110gms. Which of the following statements is TRUE about the summary statistics of birth-weights?Question 13Select one:a.The median and the standard deviation will be influenced by the presence of the outlierb.The median and the range will be influenced by the presence of the outlierc.The mean and the median will be influenced by the presence of the outlierd.The mean, standard deviation and the range will be influenced by the presence of the outlier

Question

In a study of a cohort of 100 babies born at the Royal Children’s Hospital in June 2007, recorded birth-weights included one suspect extreme birth-weight, an outlier, which arose when the lowest birth-weight observed (1.1kgs), was incorrectly recorded as 110gms. Which of the following statements is TRUE about the summary statistics of birth-weights?Question 13Select one:a.The median and the standard deviation will be influenced by the presence of the outlierb.The median and the range will be influenced by the presence of the outlierc.The mean and the median will be influenced by the presence of the outlierd.The mean, standard deviation and the range will be influenced by the presence of the outlier

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Solution

The correct answer is d. The mean, standard deviation and the range will be influenced by the presence of the outlier.

Here's why:

  1. Mean: The mean is the average of all the data points. An extremely low or high value (like our outlier of 110gms) can greatly affect the mean.

  2. Standard Deviation: The standard deviation measures the amount of variation or dispersion in a set of values. An outlier can increase the standard deviation significantly because it increases the squared difference from the mean.

  3. Range:

This problem has been solved

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