Question
Construct histograms for following frequency distribution:
| Class Mark | 6 | 12 | 18 | 24 | 30 | 36 |
| Frequency | 8 | 12 | 15 | 18 | 25 | 7 |
✓
Answer
Steps :
a. Make the class intervals continuous by taking class mark as midpoints.
b. On the $x$-axis, take $1 \mathrm{~cm}$ as 5 units and plot class interval.
c. On the $y$-axis, take $1 \mathrm{~cm}$ as 5 units and plot frequency.
d. Draw rectangles of histogram as per given data.
a. Make the class intervals continuous by taking class mark as midpoints.
b. On the $x$-axis, take $1 \mathrm{~cm}$ as 5 units and plot class interval.
c. On the $y$-axis, take $1 \mathrm{~cm}$ as 5 units and plot frequency.
d. Draw rectangles of histogram as per given data.
| Class Interval | Frequency |
| 3-9 | 8 |
| 9-15 | 12 |
| 15-21 | 15 |
| 21-27 | 18 |
| 27-33 | 25 |
| 33-39 | 7 |
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A chord of a length $16.8 \ cm$ is at a distance of $11.2 \ cm$ from the centre of a circle . Find the length of the chord of the same circle which is at a distance of $8.4 \ cm$ from the centre.
→Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive:
| Marks (less than) | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 |
| No. of students | 5 | 15 | 30 | 54 | 72 | 86 | 94 | 100 |
A man observes the angle of elevation of the top of a building to be 30°. He walks towards it in a horizontal line through its base. On covering 60 m, the angle of elevation changes to 60°. Find the height of the building correct to the nearest metre.
Eight metallic spheres; each of radius $2 \ mm,$ are melted and cast into a single sphere. Calculatethe radius of the new sphere.
→Prove the following identitie:$\frac{\sin A-\cos A+1}{\sin A+\cos A-1}=\frac{\cos A}{1-\sin A}$
→Circumscribe a regular pentagon about a circle of radius 3 cm.
The total surface area of a hollow cylinder, which is open from both sides, is $3575 \ cm^2;$ area of the base ring is $357.5 \ cm^2$ and height is $14 \ cm.$ Find the thickness of the cylinder.
→Find the circumference of the circle whose area is 25 times the area of the circle with radius 7 cm.
The angles of elevation of the top of a tower from two points A and B at a distance of a and b respectively from the base and in the same straight line with it are complementary. Prove that the height of the tower is $\sqrt{a b}$.
→The angle of elevation of an aeroplane from a point on the ground is 45°. After 15 seconds, the angle of elevation changes to 30°. If the aeroplane is flying at a height of 3000 m, find the speed of the aeroplane.