Frequency Polygon Using Histogram

Q.

Draw histogram for the following frequency distribution:

Q.

Draw a histogram to represent the following frequency distribution.

Class – Interval	Frequency
20 – 25	5
25 – 30	10
30 – 35	18
35 – 40	14
40 – 45	12

Q.

Draw a histogram to represent the following frequency distribution.

Class – Interval	Frequency
10 – 19	7
20 – 29	10
30 – 39	20
40 – 49	5
50 – 59	15

Q. Choose the correct statement(s) given in the options for frequency polygon.

1. Frequency polygon is graphical representation of discrete frequency distribution.
2. Frequency polygon is graphical representation of continuous frequency distribution.
3. Construction of histogram is required for building the frequency polygon.
   
4. There is no need of class marks in constructing the frequency polygon.

Q. Area under the frequency polygon is directly proportional to the.

1. total frequency
2. class width
3. class marks
4. class intervals

Q.

In a study of dental problem, the following data were obtained:

$\begin{array}{ccccccccc}\text{Age}& 0-10& 10-0& 20-30& 30-40& 40-50& 50-60& 60-70& 70-80\\ \text{No. of}& 5& 13& 25& 14& 30& 35& 43& 50\\ \text{Patient}& & & & & & & & \end{array}$

Represent the above data by a frequency polygon.

Q. Marks of students of a Class are represented in the frequency polygon shown below.



Grade A is given to a student if he got at least 15 marks in the test. How many students got the grade A?

1. 5
2. 14
3. 15
4. 9

Q.

Draw histogram for the following frequency distribution:

Q. The number of people suffering from disease X in various months of 2012 is represented by the histogram and the corresponding frequency polygon.

If the area of half of the histogram is given as 75 $uni{t}^2$, calculated the area of frequency polygon.

1. 75 $uni{t}^2$
2. 100 $uni{t}^2$
3. 150 $uni{t}^2$
4. 175 $uni{t}^2$

Q. The following table shows the number of motorcycles produced by a company during six
consecutive years.

2009	2010	2011	2012	2013	2014
14000	16000	18500	21000	24000	30000

Draw a bar graph to represent the above data

Q. The present population (in lakhs) of six Indian states is given below:

State	Population(in lakhs)
Bihar	1040
Chhattisgarh	260
Jharkhand	330
Madhya Pradesh	720
West Bengal	910
Rajasthan	690

Represent the above data by a bar graph.

Q.

When we add $5a^{2}b+6ab+7bc+54$ and $14ab+8bc+16$, we get:

1. $5a^{2}b+20ab+7bc+70$

2. $5a^{2}b+6ab+7bc+8ac+70$

3. $5a^{2}b+16ab+7bc+8ac+70$

4. $5a^{2}b+20ab+15bc+70$

Q. Construction of frequency polygon for a grouped frequency distribution can be done ___________.

1. by using histogram
2. by using cumulative frequency
3. without using histogram
4. without using cumulative frequency

Q.

From the given data, what can be said about the speed?

$\begin{array}{ccccccc}\text{Distance covered (in kms)}& 80& 100& 120& 140& 160& 180\\ \text{Time taken (in hrs)}& 4& 6& 8& 10& 12& 14\end{array}$

1. Constant

2. Increases

3. Decreases

4. We cannot say from the given data

Q. Which of the following points lies inside the leaf?

1. A(4, 0)
2. B(0, 5)
3. D(2, 2)
4. C(4, 4)

Q. A circle is divided into sectors same as classes of a frequency distribution table and angle of each sector is proportional to the percentage frequency of the class. This type of representation is known as ____.

1. frequency circle
2. pie circle
3. pie chart
4. circular graph

Q. Marks of students of a Class are represented in the frequency polygon shown below.
How many students got marks less than 20?

1. 24
2. 39
3. 43
4. 32