Q. 24.3( 219 Votes )
During the medical check-up of 35 students of a class, their weights were recorded as follows:
Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula
Answer :
The frequency distribution table of less than type graph is as follows:
Now,
Taking upper class interval on x-axis and their respective frequencies on y-axis, ogive will be:
Here, N = 35
Mark the point A whose ordinate is 17.5 and is x-ordinate is 46.5.
Hence,
Median of the data is 46.5
Now,
It can be observed that the difference between two consecutive upper class limits is 2
The class marks with respective frequencies are obtained below:
We can see that the cumulative frequency is greater than n/2 and is 28 which belongs to the interval 46-48
Hence,
Median class = 46-48
Lower limit, l = 46
cf = 14
f = 14
h = 2
Now,
Median can be calculated as:
= 46.5
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
PREVIOUSThe following distribution gives the daily income of 50 workers of a factoryConvert the distribution above to a less than type cumulative frequency distribution, and draw its ogiveNEXTThe following table gives production yield per hectare of wheat of 100 farms of a village
Change the distribution to a more than type distribution, and draw its ogive
RELATED QUESTIONS :
Draw an ogive to represent the following frequency distribution:
The annual profits earned by 30 shops of a shopping complex in a locality give rise to the following distribution:
Draw both ogives for the above data and hence obtain the median.
RD Sharma - MathematicsDraw an ogive by less than method for the following data:
The following table gives production yield per hectare of wheat of 100 farms of a village:
Draw ‘less than’ ogive and ‘more than’ ogive.
RD Sharma - MathematicsThe monthly profits (in Rs.) of 100 shops are distributed as follows:
Draw the frequency polygon for it.
RD Sharma - MathematicsThe marks scored by 750 students in an examination are given in the form of a frequency distribution table:
Prepare a cumulative frequency table by less than method and draw an ogive.
RD Sharma - Mathematics
