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

Histograms is classified as one dimensional diagrams because only

  1. length is considered

  2. width is considered

  3. length plus width is considered

  4. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
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.

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

Sum of all components in normalized histogram is equal to

  1. $0$
  2. $2$
  3. $100$
  4. $1$
Reveal answer Fill a bubble to check yourself
D Correct answer
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,

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

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

Strictly monotonical function guarantee inverse mapping as

  1. single valued

  2. multi valued

  3. dual valued

  4. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A strictly monotonic function is always injective (one-to-one). This ensures that for every output in the range, there is exactly one corresponding input in the domain, making the inverse mapping single-valued.

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

The statistical data can be represented by diagram using 

  1. Histogram

  2. Frequency polygon

  3. Ogive

  4. None of these
Reveal answer Fill a bubble to check yourself
A,B,C Correct answer
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.

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

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 $0$

  1. $1$
  2. $0$

  3. can't determine

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
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."