Statistics: Histogram Creation & Analysis

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Questions and Answers

What is the most important characteristic of a unimodal distribution?

  • It has no peaks
  • It has a single distinct peak (correct)
  • It is always skewed to the right
  • It has multiple peaks

Which measure of central tendency is most affected by outliers in a dataset?

  • Mode
  • Median
  • Mean (correct)
  • Standard Deviation

What is the primary purpose of calculating the standard deviation of a dataset?

  • To determine the median of the dataset
  • To determine the mode of the dataset
  • To understand the amount of variation in the dataset (correct)
  • To determine the number of peaks in the dataset

What is the term for a distribution that has multiple peaks?

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

Which of the following types of skewness is most likely to occur in a distribution with a long tail on the right side?

<p>Positive skewness (B)</p> Signup and view all the answers

What is the primary cause of a skewed distribution?

<p>The asymmetry of the distribution around the mean (B)</p> Signup and view all the answers

A dataset has a median of 50 and a mean of 70. What can be inferred about the distribution of the data?

<p>The distribution is skewed to the right (D)</p> Signup and view all the answers

What is the purpose of calculating the standard deviation of a dataset?

<p>To measure the spread or dispersion of the dataset (D)</p> Signup and view all the answers

A histogram with two distinct peaks is an example of a __________ distribution.

<p>bi-modal (B)</p> Signup and view all the answers

What is the mean of the following dataset: 12, 15, 18, 20, 22, 25, 28, 30?

<p>21.25 (A)</p> Signup and view all the answers

A histogram is created with the following dataset: 10, 15, 20, 20, 25, 30, 30, 35, 40. What can be inferred about the mode of the dataset?

<p>The mode is 20 (B)</p> Signup and view all the answers

What is the standard deviation of the following dataset: 10, 12, 15, 18, 20, 22, 25?

<p>4.58 (B)</p> Signup and view all the answers

A histogram is created with the following dataset: 10, 20, 30, 40, 50, 60, 70, 80, 90. What can be inferred about the shape of the distribution?

<p>The distribution is skewed to the right (A)</p> Signup and view all the answers

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