Quartiles
If three numbers divide the series into four equal parts then, these three numbers are called quartiles.
Summary
If three numbers divide the series into four equal parts then, these three numbers are called quartiles.
Things to Remember
\( Q_1 = L + \frac {\frac{N}{4} - C.f }{f} \times h \)
\( Q_3 = L + \frac {\frac{3N}{4} - C.f }{f} \times h \)
Where,
L = lower limit of the class
c.f. = cumulative frequency of preceding class
f = frequency of class
h = width of class-interval
MCQs
No MCQs found.
Subjective Questions
Q1:
Name any four landlocked countries of Asia.
Type: Very_short Difficulty: Easy
<ul>
<li>Afghanistan</li>
<li>Nepal</li>
<li>Bhutan</li>
<li>Armenia</li>
</ul>
Q2:
Which is the largest landlocked country of the world?
Type: Short Difficulty: Easy
Q3:
Which continent has the highest and the lowest number of landlocked countries?
Type: Short Difficulty: Easy
Q4:
How many landlocked countries are developed?
Type: Short Difficulty: Easy
Q5:
Write the names of the landlocked countries in Africa?
Type: Long Difficulty: Easy
<p>Uganda</p>
<p>Chad</p>
<p>Zambia</p>
<p>Zimbabwe</p>
<p>Niger</p>
<p>Burkina Faso</p>
<p>Burundi</p>
<p>Botswana</p>
<p>Central African Republic</p>
<p>Malawi</p>
<p>Mali</p>
<p>Ruanda</p>
<p>Swaziland</p>
<p>Ethiopia</p>
<p>Lesotho</p>
Q6:
Which is the nearest sea from Nepal?
Type: Short Difficulty: Easy
Q7:
Is Nepal a landlocked country?
Type: Very_short Difficulty: Easy
Q8:
How many landlocked countries are there at present?
Type: Short Difficulty: Easy
Q9:
How many landlocked countries are there in South America? What are they?
Type: Short Difficulty: Easy
Q10:
What do you mean by landlocked countries?
Type: Very_short Difficulty: Easy
Videos
Landlocked Countries
Landlocked Countries
Landlocked Countries
Landlocked Countries
Quartiles
If three numbers divide the series into four equal parts then, these three numbers are called quartiles.
Here 9, 13 and 27 divide the series into 4 equal parts. Therefore, 9, 13 and 27 are called quartiles. 9 is called the first quartile. (Q1). 25% of the items are less than Q1 and 75% of the items are more thanQ1. 13 is called the second quartile. 50% of the items are below and above it. Similarly, 27 is called the third quartile. 75% of the items are less than Q3and 25% are more than Q3.
Therefore, quartiles are also the positional value of the items.
Calculation of quartiles in continuous series
Steps:
a. Construct the cumulative frequency table.
b. Use the formula to find the quartiles class.
The first quartile, Q1 = (\(\frac{N}{4}\))th class
The third quartile, Q3 = (\(\frac{3N}{4}\))th class
c. Use the formula to find the exact value of quartiles.
\( Q_1 = L + \frac {\frac{N}{4} - C.f }{f} \times h \)
\( Q_3 = L + \frac {\frac{3N}{4} - C.f }{f} \times h \)
Where,
L = lower limit of the class
c.f. = cumulative frequency of preceding class
f = frequency of class
h = width of class-interval
Ogive (Cumulative frequency curve )
Ogive is a graphical representation of the distribution of a continuous data. While drawing ogive, points are plotted with cumulative frequency along with y-axis and its corresponding variables along with x-axis.There are two types of the ogive. They are less than ogive and more than ogive.
Lesson
Statistics
Subject
Compulsory Mathematics
Grade
Grade 10
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