Gr 10 Math Ch 9: Measures of Dispersion
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Questions and Answers

What is another name for the 25th percentile?

  • Upper quartile
  • Lower quartile (correct)
  • Decile
  • Median

How many groups does the decile divide an ordered data set into?

  • Eleven groups
  • Nine groups
  • Five groups
  • Ten groups (correct)

What does the interquartile range measure?

  • The dispersion of the middle half of the data set (correct)
  • The closure of the data set
  • The variance of the data set
  • The range of all data values

What is the semi-interquartile range?

<p>Half of the interquartile range (C)</p> Signup and view all the answers

In grouped data, where do the percentiles lie?

<p>Within a range of values (D)</p> Signup and view all the answers

What do we define as the full data range?

<p>The difference between the 100th and 0th percentiles (B)</p> Signup and view all the answers

What does the range of a data set measure?

<p>The difference between the maximum and minimum values (D)</p> Signup and view all the answers

In a data set, the 25th percentile is also known as which quartile?

<p>First quartile (Q1) (A)</p> Signup and view all the answers

How is the rank of the pth percentile calculated in an ordered data set?

<p>$r = rac{p}{100} (n - 1) + 1$ (D)</p> Signup and view all the answers

What happens to the range if outliers are present in the data set?

<p>It is enhanced and can give inflated results (A)</p> Signup and view all the answers

When calculating the pth percentile, what should be done if the rank is not an integer?

<p>Take the value halfway between the two closest ranks (B)</p> Signup and view all the answers

Which statement is true concerning quartiles?

<p>The third quartile (Q3) captures the top 25% of data (D)</p> Signup and view all the answers

What is the relationship between percentiles and quartiles?

<p>Quartiles are specific percentiles (D)</p> Signup and view all the answers

What does it mean if a data point is in the 90th percentile?

<p>It is lower than 90% of the data points (A)</p> Signup and view all the answers

What does the range of a data set represent?

<p>The difference between the maximum and minimum values (D)</p> Signup and view all the answers

Which of the following statements is true regarding percentiles?

<p>Each percentile indicates a specific rank in the data set. (D)</p> Signup and view all the answers

How many quartiles divide an ordered data set?

<p>Four quartiles (D)</p> Signup and view all the answers

If the rank of the pth percentile in an ordered dataset is 4.5, what should be done to find the value of the percentile?

<p>Average the 4th and 5th values (C)</p> Signup and view all the answers

Which of the following best describes the relationship between quartiles and percentiles?

<p>Quartiles represent specific percentiles. (B)</p> Signup and view all the answers

What is the role of outliers in determining the range of a data set?

<p>Outliers significantly influence the calculation of the range. (A)</p> Signup and view all the answers

What is the median in relation to quartiles?

<p>The second quartile (Q2), which is also known as the 50th percentile (A)</p> Signup and view all the answers

What is the correct formula for calculating the rank of the pth percentile in an ordered data set with n values?

<p>r = p(n - 1)/100 + 1 (A)</p> Signup and view all the answers

What is the primary purpose of using deciles in data analysis?

<p>To divide an ordered data set into ten equal parts (A)</p> Signup and view all the answers

Which calculation accurately reflects the interquartile range?

<p>Q3 - Q1 (D)</p> Signup and view all the answers

In grouped data, percentiles are typically found within what kind of range?

<p>A range based on ranks (B)</p> Signup and view all the answers

What is the semi-interquartile range a representation of?

<p>It is half of the interquartile range (B)</p> Signup and view all the answers

How is the full data range calculated in terms of percentiles?

<p>By subtracting the 0th percentile from the 100th percentile (B)</p> Signup and view all the answers

What denotes the first quartile in terms of percentiles?

<p>25th percentile (D)</p> Signup and view all the answers

What is true about the interquartile range (IQR)?

<p>It measures the dispersion of the middle half of the data set. (D)</p> Signup and view all the answers

Which of the following statements regarding deciles is accurate?

<p>There are ten deciles, with each separating 10% of the data. (B)</p> Signup and view all the answers

How is the semi-interquartile range calculated?

<p>By dividing the interquartile range by two. (D)</p> Signup and view all the answers

In an ordered data set, what is the rank of the 75th percentile if there are 40 values?

<p>32 (D)</p> Signup and view all the answers

What does the full data range represent?

<p>The maximum value minus the lowest value in a data set. (D)</p> Signup and view all the answers

Where do percentiles generally lie in grouped data?

<p>Within a range rather than at a specific value. (C)</p> Signup and view all the answers

What is indicated by the 50th percentile in a data set?

<p>The median value of the data set (C)</p> Signup and view all the answers

How is the rank of the 25th percentile calculated in an ordered data set?

<p>r = rac{25}{100}(n - 1) + 1 (D)</p> Signup and view all the answers

Which characteristic does the range of a data set exhibit?

<p>It represents the difference between the maximum and minimum values. (B)</p> Signup and view all the answers

What happens if the rank calculated for a percentile is not an integer?

<p>Take the average of the values at the two surrounding ranks. (A)</p> Signup and view all the answers

What does the term 'percentile' specifically refer to in a data set?

<p>The value based on the percentage of data points below it. (D)</p> Signup and view all the answers

Why is the range considered sensitive to outliers?

<p>Outliers affect the distribution of values. (A)</p> Signup and view all the answers

When calculating a percentile, what is the significance of the parameter 'p' in the formula?

<p>It indicates the percentage of values below the desired value. (A)</p> Signup and view all the answers

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