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The abscissa of the point of intersection of both types (less than & more than) of cumulative frequency curves help in finding
- a)mean
- b)median
- c)mode
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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The abscissa of the point of intersection of both types (less than &am...
The abscissa of the point of intersection of both types of cumulative frequency curves helps in finding the median.
The median is the middle value in a dataset, and it divides the dataset into two equal parts. When we plot the cumulative frequency curve, we can find the median by finding the point of intersection of the two types of curves.
The point of intersection of the less than and more than cumulative frequency curves represents the median value. This is because at this point, half of the observations are below this value, and half of the observations are above this value.
The abscissa of the point of intersection does not help in finding the mean or mode. The mean is calculated by summing up all the observations and dividing by the number of observations. The mode is the value that appears most frequently in a dataset.
Therefore, the correct answer is (b) median.
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The median is the middle value in a dataset, and it divides the dataset into two equal parts. When we plot the cumulative frequency curve, we can find the median by finding the point of intersection of the two types of curves.
The point of intersection of the less than and more than cumulative frequency curves represents the median value. This is because at this point, half of the observations are below this value, and half of the observations are above this value.
The abscissa of the point of intersection does not help in finding the mean or mode. The mean is calculated by summing up all the observations and dividing by the number of observations. The mode is the value that appears most frequently in a dataset.
Therefore, the correct answer is (b) median.
Most Upvoted Answer
The abscissa of the point of intersection of both types (less than &am...
And greater than) of the two lines will be the same. This is because the abscissa represents the x-coordinate of a point, and if two lines intersect at a point, their x-coordinates will be the same.
To find the abscissa of the point of intersection, we can set the equations of both lines equal to each other and solve for x.
Let's say the equations of the two lines are:
y = m1x + b1 (Equation 1)
y = m2x + b2 (Equation 2)
To find the abscissa of the point of intersection, we can set Equation 1 equal to Equation 2:
m1x + b1 = m2x + b2
Now, we can solve for x by isolating it on one side of the equation:
m1x - m2x = b2 - b1
x(m1 - m2) = b2 - b1
x = (b2 - b1) / (m1 - m2)
So, the abscissa of the point of intersection is given by (b2 - b1) / (m1 - m2).
To find the abscissa of the point of intersection, we can set the equations of both lines equal to each other and solve for x.
Let's say the equations of the two lines are:
y = m1x + b1 (Equation 1)
y = m2x + b2 (Equation 2)
To find the abscissa of the point of intersection, we can set Equation 1 equal to Equation 2:
m1x + b1 = m2x + b2
Now, we can solve for x by isolating it on one side of the equation:
m1x - m2x = b2 - b1
x(m1 - m2) = b2 - b1
x = (b2 - b1) / (m1 - m2)
So, the abscissa of the point of intersection is given by (b2 - b1) / (m1 - m2).
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