Tag: maths

Questions Related to maths

If $\dfrac{x}{y} = \dfrac{3}{4}$, then the value of $(\dfrac{6}{7} + \dfrac{y-x}{y+x})$ equals ______.

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  1. $\dfrac{5}{7}$

  2. $1\dfrac{1}{7}$

  3. 1

  4. 2

Show answer
Correct Option: C
Explanation:

Given: $\cfrac {x}{y}=\cfrac {3}{4}$

So, Let $x=3a$ and $y=4a$ where $a$ is any constant.
So, $\cfrac {6}{7}+\cfrac {y-x}{y+x}\implies \cfrac {6}{7}+\cfrac {4a-3a}{4a+3a}\quad (\therefore$ Substituting values of $x$ and $y)$
$\implies \cfrac {6}{7}+\cfrac {a}{7a}=\cfrac {6}{7}+\cfrac {1}{7}=1$ 

The most common form of diagrammatic representation of a grouped frequency distribution is -

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

  1. Ogive

  2. Histogram

  3. Frequency polygon

  4. None of these

Show answer
Correct Option: B
Explanation:

Answer:- B) Histogram

Reason:-
Histogram is easy to use and we can plot the curve, also we can find the areas of adjoining rectangles which is proportional to class frequencies.

When rectangles are drawn with the areas proportional to the frequencies of respective class intervals, what is the diagram called? 

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

  1. Bar graph

  2. Frequency polygon

  3. Pie graph

  4. Histogram

Show answer
Correct Option: D
Explanation:

The histograms are diagrams which represent the class interval and the frequency in the form of a rectangle. 

There will be as many adjoining rectangles as there are class intervals. 
So, when rectangles are drawn with the areas proportional to the frequencies of respective class intervals, the diagram called Histogram.
Therefore, option D is correct.

In histogram, the height of rectangle shows _____

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

  1. width of the class

  2. upper limit of the class

  3. lower limit of the class

  4. frequency of the class

Show answer
Correct Option: D
Explanation:

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.

Hence, height of the rectangle represents the frequency of the class.

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

Show answer
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

Show answer
Correct Option: D
Explanation:

All are the types of histogram