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NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4

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.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics 59
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

Solution:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics 60
Now, we plot the points (120, 12), (140, 26), (160, 34), (180, 40) and (200, 50) to get the required ogive as shown alongside.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics 61

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:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics 62
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.)
NCERT Solutions for Class 10 Maths Chapter 14 Statistics 63

Ex 14.4 Class 10 Maths Question 3.
The following table gives production yield per hectare of wheat of 100 farms of a village.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics 64
Change the distribution to a more than type distribution, and draw its ogive.

Solution:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics 65
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.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics 66

 

We hope the NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4, help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 14 Statistics EX 14.4, drop a comment below and we will get back to you at the earliest.

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