NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4

These NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4 Questions and Answers are prepared by our highly skilled subject experts.

NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4

NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4

Question 1.
The following distribution gives the daily income of 50 workers of a factory.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4 1
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 Ex 14.4 2

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 Ex 14.4 3
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:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4 4
\(\frac { n }{ 2 }\) = \(\frac { 35 }{ 2 }\) = 17.5, therfore median class is 46 – 48.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4 5
By using formula,
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4 6
where l1, = 46 (lower limit)
h = 2 (class size)
c = 14 (cumulative frequency)
f = 14
then from the graph, median = 46.5
Thus, we see that two value i.e., from graph and formula are same.

NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4

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 Ex 14.4 7
Change the distribution to a more than type distribution, and draw its ogive.
Solution:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4 8

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