Frequency Curve for Grouped Frequency Distribution (Using Class Mark)

Q.

Draw a histogram table for the following data: [4 MARKS]

$\begin{array}{ccccc}\text{Class interval}& 1-10& 11-20& 21-30& 31-40\\ \text{Frequency}& 7& 12& 15& 13\end{array}$

Q.

In the ‘less than’ type of ogive the cumulative frequency is plotted against:

1. the lower limit of the concerned class interval

2. the upper limit of the concerned class interval

3. the mid-value of the concerned class interval

4. any value of the concerned class interval

Q.

Make a frequency polygon from the given data.

$\begin{array}{cc}\text{Weight ( kg)}& \text{Number Of Students}\\ 35.5-40.5& 5\\ 40.5-45.5& 2\\ 45.5-50.5& 12\\ 50.5-55.5& 2\\ 55.5-60.5& 45\end{array}$
[4 MARKS]

Q.

A graph of a cumulative frequency distribution is called:

Q. Draw histogram and frequency polygon on the same graph paper for the following frequency distribution.

Class	Frequency
$15-20$	$20$
$20-25$	$30$
$25-30$	$50$
$30-35$	$40$
$35-40$	$25$
$40-45$	$10$

Q.

The table below shows the number of bicycles sold from a shop during 7 weeks:

Week		1		2		3		4		5		6		7
Number of bicycles sold		60		70		80		100		50		20		10

(i) How many bicycles bicycles were sold during the sixth week?

(ii) During how many weeks were at least 40 bicycles sold?

(iii) During which all weeks were more than 50 bicycles sold?

(iv) Draw a line graph showing these details.

Q. Ages of 44 residents living in a society are given in the following frequency distribution table.

Ages (in years)	Residents
10-20	5
20-30	9
30-40	16
40-50	11
50-60	3

Construct the frequency curve for the data without using histogram.

1. 
2. 
3. 
4. 

Q. Draw frequency polygon and frequency curve for the following data on land holding by the farmers.

Area in hectare	11 - 20	21 - 30	31 - 40	41 - 50	51 - 60	61 - 70	71 - 80
No. of farmers	58	103	208	392	112	34	12

1. Area in hectaresClass markNo. of farmers
   1 -105.50
   11 -2015.558
   21 -3025.5103
   31 -4035.5208
   41 -5045.5392
   51 -6055.5112
   61 -7065.534
   71 -8075.512
   81 -9085.50
2. Area in hectaresClass markNo. of farmers
   1 -105.50
   11 -2015.558
   21 -3025.5103
   31 -4035.5208
   41 -5045.5392
   51 -6055.5112
   61 -7065.535
   71 -8075.512
   81 -9085.50
3. Area in hectaresClass markNo. of farmers
   1 -105.50
   11 -2015.558
   21 -3025.5103
   31 -4035.5208
   41 -5045.5392
   51 -6055.5112
   61 -7065.534
   71 -8075.515
   81 -9085.50
4. Area in hectaresClass markNo. of farmers
   1 -105.50
   11 -2015.558
   21 -3025.5106
   31 -4035.5208
   41 -5045.5392
   51 -6055.5112
   61 -7065.534
   71 -8075.512
   81 -9085.50

Q.

_______ is drawn in two ways either by using histogram or without using it.

Q. Draw frequency curve for the following histogram.

Q. Give Reasons
An Ogive is a graph of cumulative frequency distribution.

Q. The following tables gives production yield per hectare (in quintals) of wheat of $100$ farms of a village.

Production yield/hect	$40-45$	$45-50$	$50-55$	$55-60$	$60-65$	$65-70$
No. of farms	$4$	$6$	$16$	$20$	$30$	$24$

Change the distribution to a more than type distribution and draw its ogive

Q. Pictograms are shown by _________.

1. rays
2. lines
3. circles
4. pictures

Q. Plot the frequency curve for the histogram and find the same marks in which maximum student have scored?

1. $40-60$
2. $80-100$
3. $60-80$
4. None of these

Q. Which of the following statement(s) is/are included in the steps of constructing a frequency curve for a grouped frequency distribution?

1. Find the class marks of different classes.
2. Calculate the length of the bars.
3. Joining consecutive points by free hand.
4. Choose the suitable scale.

Q. Distinguish Between Frequency Polygon and Frequency Curve.

Q. With the help of ogive curve, one can determine __________.

1. median
2. quartile
3. percentiles
4. all the above

Q. Give Reason :
An Ogive is a graph of cumulative frequency distribution.

Q. In the above histogram, how many students have scored marks upto 40?

1. $22$
2. $12$
3. $10$
4. $16$

Q. Which of the following is one-dimensional diagram?

1. Bar
2. Square
3. Rectangle
4. A graph

Q. Construct a frequency polygon with the help of histogram for the following frequency distribution. Maximum marks is $10$.

Marks obtained	$2-4$	$4-6$	$4-6$	$6-8$	$8-10$
No. of students	$7$	$8$	$4$	$9$	$2$

Q. What is the total number of students in the class?

1. $74$
2. $94$
3. None of these
4. $84$

Q.

In which year is the population the least?

1. 1981

2. 1991

3. 2001

4. 2006

Q. How a frequency curve is sketched?

1. Frequency curve is sketched with the help of histogram by joining the starting points of rectangles.
2. None of these
3. Frequency curve is sketched with the help of histogram by joining the end points of rectangles.
4. Frequency curve is sketched with the help of histogram by joining the mid point of rectangle.

Q. Plot the frequency curve for the following histogram.

Q. Draw frequency curve for the following table.

Time (in min)	Frequency
15	7
20	15
25	17
30	3
35	14
40	2

Q. Write Short Note on the Following:
Frequency Curve