Tag: frequency polygon and frequency curve

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Multiple choice economics frequency polygons collection, organisation and presentation of data frequency polygon and frequency curve diagrammatic presentation of data

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
Reveal answer Fill a bubble to check yourself
A Correct answer
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
Multiple choice economics frequency polygons collection, organisation and presentation of data frequency polygon and frequency curve diagrammatic presentation of data
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
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

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

$Class\,Interval$ $Cumulative\,Frequency$  $Frequency$ 
$10-19$  $8$  $8$ 
$20-29$  $19$  $19-8=11$ 
$30-39$  $23$  $23-19=4$ 
$40-49$  $30$  $30-23=7$ 
Multiple choice economics frequency polygons collection, organisation and presentation of data frequency polygon and frequency curve diagrammatic presentation of data

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
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

Multiple choice economics frequency polygons collection, organisation and presentation of data frequency polygon and frequency curve diagrammatic presentation of data

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
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A line graph is the standard method for displaying data points over time to show trends. Histograms and scatter plots serve different purposes, such as showing frequency distribution or correlation.

Multiple choice economics frequency polygons collection, organisation and presentation of data frequency polygon and frequency curve diagrammatic presentation of data

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

  1. Histogram

  2. Frequency Polygon

  3. Ogives

  4. Pie-diagram
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

An ogive, also known as a cumulative frequency polygon, is a graphical representation of the cumulative frequency distribution. It is plotted by using the upper boundaries of class intervals on the x-axis and cumulative frequencies on the y-axis.

Multiple choice economics frequency polygons collection, organisation and presentation of data frequency polygon and frequency curve diagrammatic presentation of data

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
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A histogram consists of adjacent vertical rectangles where the area of each rectangle is proportional to the frequency of the class interval it represents.

Multiple choice economics frequency polygons collection, organisation and presentation of data frequency polygon and frequency curve diagrammatic presentation of data

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

  1. freehand

  2. joint

  3. straight line

  4. multi dimensional
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

By definition, a frequency polygon is constructed by connecting the midpoints of class intervals with straight line segments, forming a polygon shape.

Multiple choice economics frequency polygons collection, organisation and presentation of data frequency polygon and frequency curve diagrammatic presentation of data

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
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A complete graphic presentation requires a title, a clear scale, and units of measurement to be interpretable and accurate. Missing any of these renders the graph incomplete.

Multiple choice economics frequency polygons collection, organisation and presentation of data frequency polygon and frequency curve diagrammatic presentation of data

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
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The statement is grammatically awkward but conveys that graphs make data accessible without requiring mathematical expertise from the user. However, the phrasing is poor and the logic questionable - graphs do require some mathematical understanding to interpret correctly.