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 The curve obtained by joining the points, whose x-coordinates are the upper limits of the class-intervals and y coordinates are corresponding cumulative frequencies is called
  • a)
    Ogive 
  • b)
    Histogram 
  • c)
    Frequency polygon 
  • d)
    Frequency curve 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The curve obtained by joining the points, whose x-coordinates are the ...
In statistics, an ogive is a free-hand graph showing the curve of a cumulative distribution function. The points plotted are the upper class limit and the corresponding cumulative frequency. (which, for the normal distribution, resembles one side of an Arabesque or ogival arch).
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The curve obtained by joining the points, whose x-coordinates are the ...
Explanation:
The curve obtained by joining the points, whose x-coordinates are the upper limits of the class-intervals and y coordinates are corresponding cumulative frequencies is called Ogive.

Ogive:
An ogive is a graph that represents the cumulative frequency distribution of a set of data. It is also known as a cumulative frequency curve. The ogive is constructed by plotting the upper limits of the class-intervals on the x-axis and the corresponding cumulative frequencies on the y-axis. The points are then connected by a smooth curve to give the ogive.

Steps to construct an Ogive:
1. Determine the class-intervals and their respective frequencies.
2. Calculate the cumulative frequencies by adding up the frequencies of each class-interval.
3. Plot the upper limits of the class-intervals on the x-axis.
4. Plot the corresponding cumulative frequencies on the y-axis.
5. Connect the points with a smooth curve.

Uses of Ogive:
1. Determining the median: The ogive can be used to determine the median of a dataset by finding the x-coordinate of the point on the curve that corresponds to the cumulative frequency closest to half of the total frequency.
2. Determining quartiles: The ogive can also be used to determine the lower quartile (Q1) and upper quartile (Q3) by finding the x-coordinates of the points on the curve that correspond to the cumulative frequencies closest to one-fourth and three-fourths of the total frequency, respectively.
3. Estimating percentiles: The ogive can be used to estimate percentiles of a dataset by finding the x-coordinate of the point on the curve that corresponds to the cumulative frequency closest to the desired percentile.

Conclusion:
The curve obtained by joining the points, whose x-coordinates are the upper limits of the class-intervals and y coordinates are corresponding cumulative frequencies is called an ogive. It is a useful tool for visualizing the cumulative frequency distribution of a dataset and can be used to determine measures such as the median, quartiles, and percentiles.
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The curve obtained by joining the points, whose x-coordinates are the upper limits of the class-intervals and y coordinates are corresponding cumulative frequencies is calleda)Ogiveb)Histogramc)Frequency polygond)Frequency curveCorrect answer is option 'A'. Can you explain this answer?
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