NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4.
- Statistics Class 10 Ex 14.1
- Statistics Class 10 Ex 14.2
- Statistics Class 10 Ex 14.3
- Statistics Class 10 Ex 14.4
| Board | CBSE |
| Textbook | NCERT |
| Class | Class 10 |
| Subject | Maths |
| Chapter | Chapter 14 |
| Chapter Name | Statistics |
| Exercise | Ex 14.4 |
| Number of Questions Solved | 3 |
| Category | NCERT Solutions |
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4
Ex 14.4 Class 10 Maths Question 1.
The following distribution gives the daily income of 50 workers of a factory.
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.
Solution:
Now, we plot the points (120, 12), (140, 26), (160, 34), (180, 40) and (200, 50) to get the required ogive as shown alongside.
Ex 14.4 Class 10 Maths Question 2.
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.
Solution:
Plotting the points (38, 0), (40, 3), (42, 5), (44, 9), (46, 14), (48, 28), (50, 32) and (52, 35), we get the less than ogive as shown on the next page.
Here, n = 35 ⇒ \(\frac { n }{ 2 } =\frac { 35 }{ 2 } =17.5\).
Now, through mark 17.5 on the y-axis, draw a horizontal line which meets the ogive at A. From A, draw a vertical line on the x-axis, which meets the x-axis at B. The value of B on x-axis gives the required median.
∴Median = 46.5 (app.)
Ex 14.4 Class 10 Maths Question 3.
The 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.
Solution:
Now, we plot the points (50, 100), (55, 98), (60, 90), (65, 78), (70, 54) and (75, 16) to get the required ogive as shown below.
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