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Multiple choice maths road safety education road safety rules and regulations general awareness road safety

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

  1. $\dfrac{5}{7}$
  2. $1\dfrac{1}{7}$

  3. 1

  4. 2
Reveal answer Fill a bubble to check yourself
C Correct answer
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 $y)$
$\implies \cfrac {6}{7}+\cfrac {a}{7a}=\cfrac {6}{7}+\cfrac {1}{7}=1$ 

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

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

  1. Ogive

  2. Histogram

  3. Frequency polygon

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

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

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

  1. Bar graph

  2. Frequency polygon

  3. Pie graph

  4. Histogram
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

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

In histogram, the height of rectangle shows _____

  1. width of the class

  2. upper limit of the class

  3. lower limit of the class

  4. frequency of the class
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

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

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?

  1. Pie diagram

  2. Histogram

  3. Bar chart

  4. NONE OF THE ABOVE
Reveal answer Fill a bubble to check yourself
B Correct answer
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

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

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

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

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