NCERT Solutions for Class 10 Maths Exercise 14.4 Chapter 14 Statistics- FREE PDF Download
NCERT Class 10 Maths Ch 14 is one of the most important ones in the NCERT syllabus. Duly following NCERT Solutions for Class 10 Maths
Chapter 14 ensures you that there will be no hindrance when you opt for more advanced branches of Maths. This is where CoolGyan comes in. Our free Class 10 Statistics solutions will help you understand the chapter thoroughly.
NCERT Solutions for Class 10 Maths Chapter 14 – Statistics
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.
Now, by drawing the points on the graph,
i.e., (120, 12); (140, 26); (160, 34); (180, 40); (200, 50)
Scale: On 
axis 10 units = Rs. 10 and on 
axis 10 units = 5 workers
(start the graph from 120 correspond to 12 on y axis)
2. During the medical checkup 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.
Hence, the points for graph are:
(38, 0), (40, 3), (42, 5), (44, 9), (46, 14), (48, 28), (50, 32), (52, 35)
Scale: On axis, 10 units = 2 kg and on axis, 10 units = 5 students
change : (in graph :38 is plotted wrongly on graph on 38 its zero and at 40 38 is there)
From the above graph, Median = 46.5 kg, which lies in class interval 46 – 48.
Here, 
, then 
, which lies in interval 46 – 48.
Median class = 46 – 48
So, 
and 
Now, Median = 
= 46+[17.5−1414]×246+[17.5−1414]×2
= 46+71446+714
= 46 + 0.5
= 46.5
Hence median weight of students is 46.5 kg.
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.
The points for the graph are:
(50, 100), (55, 98), (60, 90), (65, 78), (70, 54), (75, 16)
Scale: On axis, 10 units = 5 kg/ha and on axis, 10 units = 10 forms.
(change the place of 50 in the graph it must be at 55 )
Hence median weight of the students are 56.67 kg.
