Tag: maths

Questions Related to maths

Histograms is classified as one dimensional diagrams because only

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. length is considered

  2. width is considered

  3. length plus width is considered

  4. none of these

Show answer
Correct Option: A
Explanation:

$\Rightarrow$  Histogram is classified as one dimensional diagrams because only $Legth\,is\,considered.$

$\Rightarrow$  A histogram is a display of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size. 
$\Rightarrow$  In the most common form of histogram, the independent variable is plotted along the horizontal axis and the dependent variable is plotted along the vertical axis.
$\Rightarrow$  The data appears as colored or shaded rectangles of variable area.

Sum of all components in normalized histogram is equal to

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. $0$

  2. $2$

  3. $100$

  4. $1$

Show answer
Correct Option: D
Explanation:

$\Rightarrow$  Sum of all components in normalized histogram is equal to $1$

$\Rightarrow$  The histogram of a digital image with intensity levels in the range $[0,L-1]$ is a discrete function, $h(r _k)=n _k$, where, $r _k$ is $k^{th}$ intensity value and $n _k$ is the number of pixels in the image with intensity, $r _k$.
$\Rightarrow$  It is a common practice to normalize a histogram by dividing each of its components by total number of pixels in the image, denoted by a matrix $M\times N$, where $M$ and $N$ are the row and column dimension of the image. Thus a normalized histogram is given by the following equation,

$P(r _k)=\dfrac{n _k}{M\times N}for\,k=0,1...L-1$

Probability density functions are always

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. decreasing

  2. increasing

  3. positive

  4. negative

Show answer
Correct Option: C
Explanation:

Probablity of a function is always greater than 0 i.e. positive

PDF in histogram equalization stands for

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. probability dual function

  2. partial density function

  3. parametric density function

  4. probability density function

Show answer
Correct Option: D
Explanation:

PDF in histogram equalization stands for probability density function. 

Local histogram processing deals with

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. whole image

  2. slices of image

  3. centre of image

  4. none of these

Show answer
Correct Option: B
Explanation:

In local histogram we deal with slice of images

Strictly monotonical function guarantee inverse mapping as

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. single valued

  2. multi valued

  3. dual valued

  4. none of these

Show answer
Correct Option: A

Histogram is technique processed in

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. intensity domain

  2. frequency domain

  3. spatial domain

  4. none of these

Show answer
Correct Option: C
Explanation:

Well known from application of histogram

The statistical data can be represented by diagram using 

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. Histogram

  2. Frequency polygon

  3. Ogive

  4. None of these

Show answer
Correct Option: A,B,C
Explanation:

It is fundamental concept that a statistical data can be represented using plotting graph between different variable, pie chart, histogram, frequency polygon or frequency table or ogives.
Hence, $A,B,C$ are correct choices.

In a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.
If true then enter $1$ and if false then enter $0$

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. $1$

  2. $0$

  3. can't determine

  4. None of these

Show answer
Correct Option: B
Explanation:

No, this is not a correct statement.
In a histogram, horizontal axis represents the class intervals whose width is fixed & the varying data is plotted along the y-axis. So in all  the rectangles of a histogram, width remains same & the length changes.
So correct statement is "In a histogram, the area of each rectangle is proportional to the frequency of its class."

The width of a rectangle in a histogram represents ___________ of the class.

maths bar graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. frequency

  2. range

  3. class limit

  4. upper limit

Show answer
Correct Option: A
Explanation:

The height of the rectangle in the histogram represents the frequency.