Tag: frequency polygon and frequency curve

Questions Related to frequency polygon and frequency curve

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


Correct Option: A
Explanation:

Solution:

Area in hectares Class mark No. of farmers
1  -10 5.5 0
11 -20 15.5 58
21 -30 25.5 103
31 -40 35.5 208
41 -50 45.5 392
51 -60 55.5 112
61 -70 65.5 34
71 -80 75.5 12
81 -90 85.5 0
Class Interval Cumulative Frequency
10-19 8
20-29 19
30-39 23
40-49 30

Construct a frequency distribution table from the following cumulative frequency distribution $:$

  1.  8
     19
     23
     30

     

  2.  30
     23
     19
     8

     

  3.  8
     27
     50
     80

     

  4.  8
     11
     4
     7

     


Correct Option: D
Explanation:

$\Rightarrow$  The frequency distribution table are as follows :

$Class\,Interval$ $Cumulative\,Frequency$  $Frequency$ 
$10-19$  $8$  $8$ 
$20-29$  $19$  $19-8=11$ 
$30-39$  $23$  $23-19=4$ 
$40-49$  $30$  $30-23=7$ 

How a frequency curve is sketched?

  1. Frequency curve is sketched with the help of histogram by joining the end points of rectangles.

  2. Frequency curve is sketched with the help of histogram by joining the mid point of rectangle.

  3. Frequency curve is sketched with the help of histogram by joining the starting points of rectangles. 

  4. None of these


Correct Option: B
Explanation:

Curve formed by joining the midpoint of rectangular of histogram is called as frequency curve.

To show the trend for a variable, which one of the presentation method is used?

  1. Histogram

  2. Frequency polygon

  3. Line graph

  4. Scatter graph


Correct Option: C

Fill the Alternative given in the bracket:
_______ is a graph of cumulative frequency distribution.

  1. Histogram

  2. Frequency Polygon

  3. Ogives

  4. Pie-diagram


Correct Option: C

Fill the Alternative given in the bracket:
_______ is a graph representing a frequency distribution.

  1. Frequency polygon

  2. Histogram

  3. Pie diagram

  4. Bar diagram


Correct Option: A

Fill the alternative given in the bracket:
Vertical rectangle representing class frequency in a frequency distribution is called _________.

  1. bar diagram

  2. histogram

  3. pie diagram

  4. frequency polygon


Correct Option: B

Fill the Alternative given in the bracket:
A frequency polygon is a ________ curve.

  1. freehand

  2. joint

  3. straight line

  4. multi dimensional


Correct Option: C

From the below mentioned what, if missed, makes the graphic presentation incomplete

  1. Unit of measurement

  2. Suitable scale

  3. Suitable title

  4. All of the above


Correct Option: D

Graph is a useful tool as _______________.

  1. only limited information can be achieved

  2. information provided is not useful for an expert

  3. not precisely correct

  4. it does not require that the person who is using graph should know mathematics


Correct Option: D