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Graphical Representation Cumulative Frequency Video Lecture - Class 10

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FAQs on Graphical Representation Cumulative Frequency Video Lecture - Class 10

1. What is a cumulative frequency graph?
Ans. A cumulative frequency graph, also known as an ogive, is a graphical representation of the cumulative frequency distribution. It shows the total frequency of values up to a certain point on the x-axis.
2. How is a cumulative frequency graph plotted?
Ans. To plot a cumulative frequency graph, we first calculate the cumulative frequency by adding up all the frequencies up to a particular point. Then, we plot the cumulative frequency on the y-axis against the corresponding values on the x-axis.
3. What information can be obtained from a cumulative frequency graph?
Ans. A cumulative frequency graph provides information about the total frequency of values up to a particular point. It helps in analyzing the distribution of data, determining quartiles, finding the median, and identifying outliers.
4. How can we determine the median from a cumulative frequency graph?
Ans. To determine the median from a cumulative frequency graph, we locate the midpoint of the total frequency on the y-axis. Then, we draw a horizontal line from the midpoint to the cumulative frequency curve. The point where the line intersects the curve represents the median value.
5. How can we find the interquartile range using a cumulative frequency graph?
Ans. The interquartile range can be found using a cumulative frequency graph by locating the lower quartile (Q1) and the upper quartile (Q3). To find Q1, we locate the point on the cumulative frequency curve where the total frequency is 25% of the total. Similarly, to find Q3, we locate the point where the total frequency is 75% of the total. The interquartile range is then calculated by subtracting Q1 from Q3.
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