Tag: histograms with unequal class intervals

Questions Related to histograms with unequal class intervals

Histogram are a great way to show results of 

maths interpreting data and graphs histograms for non-uniform class widths histograms with unequal class intervals revisiting histograms

  1. categories

  2. continuous data

  3. both $A$ and $B$

  4. None of these

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Correct Option: B
Explanation:

Answer:-

B) Continuous data
Histogram is curve that is represented in the form of bars for continuous data.

Which type of data can be represented by histogram?

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

  1. Grouped data

  2. Ungrouped data

  3. Continuous data

  4. None of these

Show answer
Correct Option: A
Explanation:

Histogram represents grouped data 

Data on percentage distribution of area of land in acres owned by households in two districts of a particular state as follows:

Land holding District-A District-B
$0.01-0.99$ $5.62$ $13.53$
$1.0-2.49$ $18.35$ $21.84$
$2.5-7.49$ $47.12$ $39.32$
$7.5-12.49$ $19.34$ $12.15$
$12.5-19.99$ $7.21$ $7.43$
$20.0-29.99$ $2.36$ $5.73$

What is the appropriate diagram to represent the above data?

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

  1. Pie diagram

  2. Histogram

  3. Bar chart

  4. NONE OF THE ABOVE

Show answer
Correct Option: B
Explanation:

Appropriate diagram to represent given data is histogram because histogram easily represents graph of 2 different district on the same graph & in easy to understand graph

Which one of the following statements is not correct with reference to a histogram?

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

  1. Frequency curve is obtained by joining the midpoints of the top of the adjacent rectangles with smooth curves

  2. Histogram is drawn for continuous data

  3. The height of the bar is proportional to the frequency of that class

  4. Mode of the distribution can be obtained from the histogram

Show answer
Correct Option: C
Explanation:

Option C is not correct & all other are correct from our basic knowledge of statistics

Histograms, pie charts and frequency polygons are all types of

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

  1. one dimension diagrams

  2. two dimension diagrams

  3. cumulative diagrams

  4. none of these

Show answer
Correct Option: A
Explanation:

Using these we can vary one component only

Types of histograms includes

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

  1. deviation bar charts

  2. paired bar charts

  3. grouped charts

  4. all of the above

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Correct Option: D
Explanation:

All are the types of histogram

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. $1$

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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

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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.