Tag: frequency polygons

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Questions Related to frequency polygons

Multiple choice economics frequency polygons

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

In less than ogive, the curve is formed by joining upper limits of classes and cumulative frequencies as written corresponding to the upper limits of the given data.


In more than ogive, the curve is formed by joining lower limits of classes and cumulative frequencies as written corresponding to the lower limits of the given data.

$n/2$ on y-axis corresponds to the middle term of the observations when arranged in ascending order, giving us median of the data.

When both less than and more than Ogives are plotted on same graph, they both will intersect at the median as it remains the same for a given set of observations.
For x-coordinate giving Median, corresponding y-coordinate is $n/2$.

Hence, the answer is P-Upper, L-Lower, R-Median, S-y coordinate, T-x coordinate

Multiple choice economics frequency polygons

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

Answer:- D) The curve formed by joining the middle points of the tops of bars of the histogram.

Reason:-
Frequency curve is defined as the curve formed by joining the middle points of the tops of the bars.

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

The measure of dispersion is a characteristics of :

  1. frequency polygon

  2. frequency curve

  3. frequency class

  4. frequency limit
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

There are following characteristics of $frequency curve$

$1$.Frequency curve identical in shape with different central locations.
$2.$frequency curve with same central location but different dispersion.
$3.$Frequency curve exist with different skewing.

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

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

Frequency polygon is not a characteristics of frequency curve.
Because frequency polygon is one kind of curve not a characteristics of frequency curve.

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

Frequency Polygon and frequency curves are one and the same.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A frequency polygon is constructed by joining the midpoints of the tops of histogram bars, while a frequency curve is a smoothed version of a frequency polygon. They are distinct concepts in statistics.

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

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

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

This is identical to question 394724. An ogive is the curve obtained by plotting cumulative frequencies against class boundaries. The statement 'A curve obtained by plotting cumulative frequencies is called an Ogive' is the standard definition in statistics.