Gr 11 Math Ch 11: Histograms

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?

A histogram has bars, while a frequency polygon has points 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?

To connect the points with straight lines Signup and view all the answers

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

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

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

To plot the point at the height corresponding to the frequency. Signup and view all the answers

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

Relative Frequency Signup and view all the answers

What is the first step in drawing a histogram?

Determine the class intervals. Signup and view all the answers

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

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

What do the points on a frequency polygon represent?

The frequencies of each class interval. Signup and view all the answers

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

To obtain the necessary information to draw the frequency polygon. Signup and view all the answers

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

The frequency of the data in that class interval. Signup and view all the answers

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

To identify the class with the highest frequency Signup and view all the answers

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

It is the class where the median falls Signup and view all the answers

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

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

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

To determine the height of each bar in the histogram Signup and view all the answers

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

It is a smoothed representation of the data Signup and view all the answers

What is the purpose of a histogram in data analysis?

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

What is a key characteristic of a frequency polygon?

Each point represents the frequency of a class interval Signup and view all the answers

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

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

What is the first step in constructing a frequency polygon?

Draw the histogram for the data Signup and view all the answers

What does the horizontal axis represent in a histogram?

The class intervals Signup and view all the answers

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

To divide the data into equal length intervals Signup and view all the answers

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

The presence of gaps between the bars Signup and view all the answers

What is the purpose of relative frequency in data analysis?

To compare the frequency of different events Signup and view all the answers

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

To establish a midpoint for each class interval Signup and view all the answers

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

A frequency polygon is a smoothed version of a histogram Signup and view all the answers

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

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

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

To allow for a more accurate representation of the data Signup and view all the answers

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

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

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

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. Signup and view all the answers

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

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

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

The histogram would be taller and narrower. Signup and view all the answers

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

Frequency polygons are better suited for large datasets. Signup and view all the answers

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

The frequency polygon would be more jagged and irregular. Signup and view all the answers

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

To plot the point on the frequency polygon. 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?

The histogram would become skewed to the right. Signup and view all the answers

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

The more class intervals, the more accurate the histogram. Signup and view all the answers

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

To identify the class interval with the highest frequency Signup and view all the answers

Why are class marks used in histograms and frequency polygons?

To find the midpoint of each class interval 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?

The shape of the histogram will change Signup and view all the answers

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

To draw the bars on the histogram Signup and view all the answers

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

The width of the bars is equal to the class intervals Signup and view all the answers

Gr 11 Math Ch 11: Histograms

Questions and Answers

What is the formula to calculate the relative frequency?

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

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

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

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

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

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

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

What is the first step in drawing a histogram?

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

What do the points on a frequency polygon represent?

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

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

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

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

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

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

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

What is the purpose of a histogram in data analysis?

What is a key characteristic of a frequency polygon?

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

What is the first step in constructing a frequency polygon?

What does the horizontal axis represent in a histogram?

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

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

What is the purpose of relative frequency in data analysis?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Why are class marks used in histograms and frequency polygons?

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

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

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

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