Gr 11 Math Ch 11: Histograms
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Questions and Answers

What is the formula to calculate the relative frequency?

  • Frequency / Total number of observations (correct)
  • Frequency / (Total number of observations - 1)
  • Total number of observations / Frequency
  • (Frequency - 1) / Total number of observations

    • What is the primary purpose of defining class intervals in constructing histograms?

  • To calculate the median of the data
  • To divide the data into equal-length ranges (correct)
  • To plot the frequency polygon
  • To determine the modal class

    • In a histogram, what does the height of each bar represent?

  • The frequency of each interval (correct)
  • The class mark of each interval
  • The median of each interval
  • The relative frequency of each interval

    • What is the primary difference between a histogram and a frequency polygon?

    <p>A histogram has bars, while a frequency polygon has points</p> Signup and view all the answers

    What is the purpose of plotting points at the midpoints of each class interval when constructing a frequency polygon?

    <p>To connect the points with straight lines</p> Signup and view all the answers

    What is the main difference between a histogram and a frequency polygon?

    <p>A histogram uses bars, while a frequency polygon uses points connected by lines.</p> Signup and view all the answers

    What is the purpose of finding the midpoint of each class interval when drawing a frequency polygon?

    <p>To plot the point at the height corresponding to the frequency.</p> Signup and view all the answers

    What is the ratio of the frequency of an event to the total number of observations called?

    <p>Relative Frequency</p> Signup and view all the answers

    What is the first step in drawing a histogram?

    <p>Determine the class intervals.</p> Signup and view all the answers

    What is the characteristic of a histogram that distinguishes it from a bar graph?

    <p>There are no gaps between the bars unless a class interval has a frequency of zero.</p> Signup and view all the answers

    What do the points on a frequency polygon represent?

    <p>The frequencies of each class interval.</p> Signup and view all the answers

    What is the purpose of drawing a histogram before drawing a frequency polygon?

    <p>To obtain the necessary information to draw the frequency polygon.</p> Signup and view all the answers

    What does the height of each bar in a histogram represent?

    <p>The frequency of the data in that class interval.</p> Signup and view all the answers

    What is the primary purpose of identifying the modal class in a dataset?

    <p>To identify the class with the highest frequency</p> Signup and view all the answers

    Which of the following statements is true about the median class?

    <p>It is the class where the median falls</p> Signup and view all the answers

    What is the primary difference between the axes of a histogram and a frequency polygon?

    <p>The vertical axis of a histogram is for frequencies, while the horizontal axis is for intervals</p> Signup and view all the answers

    What is the purpose of counting frequencies in each interval when constructing a histogram?

    <p>To determine the height of each bar in the histogram</p> Signup and view all the answers

    What is the advantage of using a frequency polygon over a histogram?

    <p>It is a smoothed representation of the data</p> Signup and view all the answers

    What is the purpose of a histogram in data analysis?

    <p>To display the frequency distribution of a set of continuous or discrete data</p> Signup and view all the answers

    What is a key characteristic of a frequency polygon?

    <p>Each point represents the frequency of a class interval</p> Signup and view all the answers

    Why are there no gaps between the bars in a histogram?

    <p>Because a class interval with a frequency of zero is not included</p> Signup and view all the answers

    What is the first step in constructing a frequency polygon?

    <p>Draw the histogram for the data</p> Signup and view all the answers

    What does the horizontal axis represent in a histogram?

    <p>The class intervals</p> Signup and view all the answers

    Why are class intervals used in constructing histograms and frequency polygons?

    <p>To divide the data into equal length intervals</p> Signup and view all the answers

    What is the key difference between a histogram and a bar graph?

    <p>The presence of gaps between the bars</p> Signup and view all the answers

    What is the purpose of relative frequency in data analysis?

    <p>To compare the frequency of different events</p> Signup and view all the answers

    What is the primary reason for using class marks in histograms and frequency polygons?

    <p>To establish a midpoint for each class interval</p> Signup and view all the answers

    Which of the following statements is true about the relationship between histograms and frequency polygons?

    <p>A frequency polygon is a smoothed version of a histogram</p> Signup and view all the answers

    What is the primary advantage of using a frequency polygon over a histogram?

    <p>Frequency polygons provide a smoother curve, which can help identify trends in the data</p> Signup and view all the answers

    What is the purpose of defining equal-length intervals in histograms and frequency polygons?

    <p>To allow for a more accurate representation of the data</p> Signup and view all the answers

    Which of the following statements is true about the class intervals in a histogram and frequency polygon?

    <p>The class intervals in a histogram are always the same as those in a frequency polygon</p> Signup and view all the answers

    What is the primary difference between the way class intervals are used in histograms and frequency polygons?

    <p>In histograms, class intervals are used to determine the width of the bars, while in frequency polygons, they are used to determine the x-coordinates of the points.</p> Signup and view all the answers

    What is the relationship between the width of the bars in a histogram and the class intervals?

    <p>The width of the bars is equal to the class intervals.</p> Signup and view all the answers

    What would be the effect on a histogram if the class intervals were halved?

    <p>The histogram would be taller and narrower.</p> Signup and view all the answers

    What is the primary advantage of using frequency polygons over histograms?

    <p>Frequency polygons are better suited for large datasets.</p> Signup and view all the answers

    What would be the effect on a frequency polygon if the class intervals were increased?

    <p>The frequency polygon would be more jagged and irregular.</p> Signup and view all the answers

    What is the primary purpose of finding the midpoint of each class interval when constructing a frequency polygon?

    <p>To plot the point on the frequency polygon.</p> Signup and view all the answers

    What would happen to the shape of a histogram if the frequency of one of the class intervals was greatly increased?

    <p>The histogram would become skewed to the right.</p> Signup and view all the answers

    What is the relationship between the number of class intervals and the accuracy of a histogram?

    <p>The more class intervals, the more accurate the histogram.</p> Signup and view all the answers

    What is the main purpose of defining the modal class in a dataset?

    <p>To identify the class interval with the highest frequency</p> Signup and view all the answers

    Why are class marks used in histograms and frequency polygons?

    <p>To find the midpoint of each class interval</p> Signup and view all the answers

    What is the effect on a histogram if the frequency of one of the class intervals is greatly increased?

    <p>The shape of the histogram will change</p> Signup and view all the answers

    What is the purpose of counting frequencies in each interval when constructing a histogram?

    <p>To draw the bars on the histogram</p> Signup and view all the answers

    What is the relationship between the width of the bars in a histogram and the class intervals?

    <p>The width of the bars is equal to the class intervals</p> Signup and view all the answers

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