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Frequency polygon and frequency curve - class-XI

frequency polygon and frequency curve

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Questions

Question 1 Multiple Choice (Single Answer)

Fill in the blanks.

In 'Less Than" Ogive, the cumulative frequencies are written corresponding to the __________[P] limits of the classes of the given data.
In 'More Than' Ogive, the cumulative frequencies are written corresponding to the __________[Q] limit of the classes.
On an ogive, point P whose y-coordinate $=n/2$ (i.e., half of the total number of the entries), has its x-coordinate equal to the ___________[R] of the data.
Two ogives, one 'less than' type and the other 'more than' type for the same data when drawn simultaneously on the same graph, intersect each other at the point P whose ___________[S] $=n/2$ and _____________[T] $=$ median of the data where n is the total number of the entries of the data.

  1. P-Upper, Q-Lower, R-Median, S- y-coordinate, T-x-coordinate
  2. P-Lower, Q-Upper, R-Median, S-y-coordinate, T-x-coordinate
  3. P-Upper, Q-Lower, R-Median, S-x-coordinate, T-y-coordinate
  4. P-Upper, Q-Lower, R-Upper limit, S-y-coordinate, T-x-coordinate
Question 2 Multiple Choice (Single Answer)

Which one of the following  definitions is for frequency curve?

  1. The polygon formed by joining the middle points oft he tops of bars of the histogram.
  2. A special type of bar graph to represent a frequency distribution. Here the bars are drawn adjacent to each other, class intervals are represented on the horizontal axis and frequency on the vertical axis.
  3. If the class intervals are plotted on the horizontal axis and the cumulative frequencies on the vertical axis against the upper class boundaries then the free band curve through the points so plotted.
  4. The curve formed by joining the middle points of the tops of bars of the histogram.
Question 3 Multiple Choice (Single Answer)

The measure of dispersion is a characteristics of :

  1. frequency polygon
  2. frequency curve
  3. frequency class
  4. frequency limit
Question 4 Multiple Choice (Single Answer)

Which one of the following is not a characteristics of frequency curve?

  1. measure of central tendency
  2. measure of dispersion
  3. frequency polygon
  4. shape of the frequency curve
Question 5 Multiple Choice (Single Answer)

Frequency Polygon and frequency curves are one and the same.

  1. True
  2. False
Question 6 Multiple Choice (Single Answer)

A histogram is the same as a frequency polygon.

  1. True
  2. False
Question 7 Multiple Choice (Single Answer)

A frequency polygon is a graph that represents frequency distribution.

  1. True
  2. False
Question 8 Multiple Choice (Single Answer)

Frequency curve may be:

  1. Symmetrical
  2. Positive skew
  3. Negative skew
  4. All of the above
Question 9 Multiple Choice (Single Answer)

A curve obtained by plotting cumulative frequencies in called an Ogive.

  1. True
  2. False
Question 10 Multiple Choice (Single Answer)

A curve obtained by plotting cumulative frequencies is called an Ogive.

  1. True
  2. False
Question 11 Multiple Choice (Single Answer)

There is a difference between Histogram and Frequency polygon.

  1. True
  2. False
Question 12 Multiple Choice (Single Answer)

Ogive curve can be drawn for __________.

  1. more than type distribution
  2. less than type distribution
  3. both (a) and (b)
  4. none of (a) and (b)
Question 13 Multiple Choice (Single Answer)

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

  1. median
  2. quartile
  3. percentiles
  4. all the above
Question 14 Multiple Choice (Single Answer)

Ogives for more than type and less than type distributions intersect at ________.

  1. mean
  2. median
  3. mode
  4. none of them
Question 15 Multiple Choice (Single Answer)

If we plot the points of a less than type or more than type frequency distribution, the shape of graph is _________.

  1. ogive curve
  2. scatter diagram
  3. zig-zag curve
  4. parabola
Question 16 Multiple Choice (Single Answer)

It is necessary to find cumulative frequencies in order to draw a/an __________.

  1. pie chart
  2. frequency polygon
  3. ogive curve
  4. column chart
Question 17 Multiple Choice (Single Answer)

In an Ogive curve, the points are plotted for __________.

  1. the values and frequencies
  2. frequencies and cumulative frequencies
  3. None of the above
  4. Both a and b
Question 18 Multiple Choice (Single Answer)

The graph of successive points of a distribution joined by straight lines in statistical terminology is known as _________.

  1. frequency polygon
  2. frequency curve
  3. trend
  4. cumulative distribution curve
Question 19 Multiple Choice (Single Answer)

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
Question 20 Multiple Choice (Single Answer)
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 |
Question 21 Multiple Choice (Single Answer)

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
Question 22 Multiple Choice (Single Answer)

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

  1. Histogram
  2. Frequency Polygon
  3. Ogives
  4. Pie-diagram
Question 23 Multiple Choice (Single Answer)

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
Question 24 Multiple Choice (Single Answer)

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
Question 25 Multiple Choice (Single Answer)

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

  1. freehand
  2. joint
  3. straight line
  4. multi dimensional
Question 26 Multiple Choice (Single Answer)

For drawing a frequency polygon of a continous frequency distribution, we plot the points whose ordinates are the frequencies of the respective classes and abcissae are respectively :

  1. upper limits of the classes
  2. lower limits of the classes
  3. class marks of the classes
  4. upper limits of perceeding classes
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