The following table gives the lifetimes of 400 neon lamps: Lifetime (in hr) 300 - 400 400 - 500 500 - 600 600 - 700 700 - 800 800 - 900 900 - 1000 Number of lamps 14 56 60 86 74 62 48 Represent the given information with the help of a histogram.

The following table gives the lifetimes of 400 neon lamps: Lifetime (in hr) 300 - 400 400 - 500 500 - 600 600 - 700 700 - 800 800 - 900 900 - 1000 Number of lamps 14 56 60 86 74 62 48 A histogram is the geographical representation of a frequency distribution (in exclusive form) in the form of rectangles with class interval as bases and the corresponding frequencies as the heights, there being no gaps between the successive rectangles. Consider the class intervals that is Lifetime in hours on the X – axis and number of lamps on the Y - axis and draw rectangles which provides the required histogram. A break is indicated near the origin on the X - axis since the scale starts at 300 . Thus, we obtain a histogram, as shown below.

The following table gives the lifetimes of 400 neon lamps: Lifetime (in hr) 300 - 400 400 - 500 500 - 600 600 - 700 700 - 800 800 - 900 900 - 1000 Number of lamps 14 56 60 86 74 62 48 Represent the given information with the help of a histogram.

The following table gives the lifetimes of 400 neon lamps: Lifetime (in hr) 300 - 400 400 - 500 500 - 600 600 - 700 700 - 800 800 - 900 900 - 1000 Number of lamps 14 56 60 86 74 62 48 A histogram is the geographical representation of a frequency distribution (in exclusive form) in the form of rectangles with class interval as bases and the corresponding frequencies as the heights, there being no gaps between the successive rectangles. Consider the class intervals that is Lifetime in hours on the X – axis and number of lamps on the Y - axis and draw rectangles which provides the required histogram. A break is indicated near the origin on the X - axis since the scale starts at 300 . Thus, we obtain a histogram, as shown below.

The following table gives the lifetimes of 400 neon lamps: Lifetime (in hr) 300 - 400 400 - 500 500 - 600 600 - 700 700 - 800 800 - 900 900 - 1000 Number of lamps 14 56 60 86 74 62 48 How many lamps have a lifetime of more than 700 hours ?

We have, Lamps with a lifetime more than 700 hours = 74 + 62 + 48 = 184 Hence, 184 lamps will have a lifetime of more than 700 hours.

Draw a histogram for the frequency distribution of the following data: Class interval 8 - 13 13 - 18 18 - 23 23 - 28 28 - 33 33 - 38 38 - 43 Frequency 320 780 160 540 260 100 80

A histogram is a graphical representation that organises a group of data points into user-specified ranges. It is similar in appearance to a bar graph. Consider the class intervals on the X - axis and frequency on the Y - axis and draw rectangles that provide the required histogram. A break is indicated near the origin on the X - axis since the scale starts at 8 . Take scale as 1 cm = 1 class interval on X -axis and 1 cm = 100 on Y -axis Thus, we obtain a histogram, which is shown below.

Construct a histogram for the following frequency distribution: Class interval 5 - 12 13 - 20 21 - 28 29 - 36 37 - 44 45 - 52 Frequency 6 15 24 18 4 9

The given frequency distribution is in inclusive form So, we will convert it into exclusive form, as shown below: Class Interval Frequency 4 . 5 - 12 . 5 6 12 . 5 - 20 . 5 15 20 . 5 - 28 . 5 24 28 . 5 - 36 . 5 18 36 . 5 - 44 . 5 4 44 . 5 - 52 . 5 9 Consider the class intervals on the X - axis and frequency on the Y - axis and draw rectangles that provides the required histogram. A break is indicated near the origin on the X - axis since the scale starts at 4 . 5 . Thus, we obtain a histogram, which is shown below.

The following table shows the number of illiterate persons in the age group ( 10 - 58 years ) in a town: Age group (in years) 10 - 16 17 - 23 24 - 30 31 - 37 38 - 44 45 - 51 52 - 58 Number of illiterate persons 175 325 100 150 250 400 525 Draw a histogram to represent the above data.

The frequency distribution is in inclusive form So, we will convert it into exclusive form, as shown below. Age group (in years) Number of illiterate persons 9 . 5 - 16 . 5 175 16 . 5 - 23 . 5 325 23 . 5 - 30 . 5 100 30 . 5 - 37 . 5 150 37 . 5 - 44 . 5 250 44 . 5 - 51 . 5 400 51 . 5 - 58 . 5 525 Now, we know a histogram is a graphical representation that organises a group of data points into user-specified ranges. It is similar in appearance to a bar graph. Consider the class intervals that is age group in years on the X - axis and number of illiterate persons on the Y - axis and draw rectangles which provides the required histogram. A break is indicated near the origin on the X axis since the scale starts at 9 . 5 . Thus, we obtain a histogram, which is shown below.

Draw a histogram to represent the following data: Class interval 10 - 14 14 - 20 20 - 32 32 - 52 52 - 80 Frequency 5 6 9 25 21

Here, the class sizes are 4 , 6 , 12 , 20 and 28 So the minimum class size is 4 Adjusted frequency = m i n i m u m c l a s s s i z e × i t s f r e q u e n c y c l a s s s i z e o f t h i s c l a s s On further calculation, we get Adjusted frequency of class interval ( 10 - 14 ) is 4 × 5 4 = 5 Adjusted frequency of class interval 14 - 20 is 4 × 6 6 = 4 Adjusted frequency of class interval 20 - 32 is 4 × 9 12 = 3 Adjusted frequency of class interval 32 - 52 is 4 × 25 20 = 5 Adjusted frequency of class interval 52 - 80 is 4 × 21 28 = 3 So the adjusted frequency table is given below: Class Interval Frequency 10 - 14 5 14 - 20 4 20 - 32 3 32 - 52 5 52 - 80 3 We know that a histogram is a graphical representation that organizes a group of data points into user-specified ranges. It is similar in appearance to a bar graph. Consider the class intervals on the X - axis and frequency on the Y- axis and draw rectangles which provides the required histogram.

Draw a histogram to represent the following information: Class interval 5 - 10 10 - 15 15 - 25 25 - 45 45 - 75 Frequency 6 12 10 8 18

The class sizes are 5 , 5 , 10 , 20 and 30 So the minimum class size is 5 We know that Adjusted frequency = minimum class size × its frequency class size of this class On further calculation, we get Adjusted frequency for the class interval 5 - 10 is 5 × 6 5 = 6 Adjusted frequency for the class interval 10 - 15 is 5 × 12 5 = 12 Adjusted frequency for the class interval 15 - 25 is 5 × 10 10 = 5 Adjusted frequency for the class interval 25 - 45 is 5 × 8 20 = 2 Adjusted frequency for the class interval 45 - 75 is 5 × 18 30 = 3 So the adjusted frequency table is given below: Class Interval Frequency 5 - 10 6 10 - 15 12 15 - 25 5 25 - 45 2 45 - 75 3 We know that a histogram is a graphical representation that organizes a group of data points into user-specified ranges. It is similar in appearance to a bar graph. Consider the class intervals on the X - axis and frequency on the Y - axis and draw rectangles that provide the required histogram.

MEDIUM

9th CBSE

IMPORTANT

Earn 100

The following table gives the lifetimes of $400$ neon lamps:

$\begin{matrix} \begin{matrix} Lifetime \\ (in hr) \end{matrix} & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 & 700 - 800 & 800 - 900 & 900 - 1000 \\ \begin{matrix} Number of \\ lamps \end{matrix} & 14 & 56 & 60 & 86 & 74 & 62 & 48 \end{matrix}$

Represent the given information with the help of a histogram.

Important Questions on Bar Graph, Histogram and Frequency Polygon

EASY

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 17 - Bar Graph, Histogram and Frequency Polygon>EXERCISE 17B>Q 4

The following table gives the lifetimes of $400$ neon lamps:

$\begin{matrix} \begin{matrix} Lifetime \\ (in hr) \end{matrix} & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 & 700 - 800 & 800 - 900 & 900 - 1000 \\ \begin{matrix} Number of \\ lamps \end{matrix} & 14 & 56 & 60 & 86 & 74 & 62 & 48 \end{matrix}$

How many lamps have a lifetime of more than $700$ hours $?$

MEDIUM

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 17 - Bar Graph, Histogram and Frequency Polygon>EXERCISE 17B>Q 5

Draw a histogram for the frequency distribution of the following data:

Class interval	$8 - 13$	$13 - 18$	$18 - 23$	$23 - 28$	$28 - 33$	$33 - 38$	$38 - 43$
Frequency	$320$	$780$	$160$	$540$	$260$	$100$	$80$

MEDIUM

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 17 - Bar Graph, Histogram and Frequency Polygon>EXERCISE 17B>Q 6

Construct a histogram for the following frequency distribution:

$\begin{matrix} Class interval & 5 - 12 & 13 - 20 & 21 - 28 & 29 - 36 & 37 - 44 & 45 - 52 \\ Frequency & 6 & 15 & 24 & 18 & 4 & 9 \end{matrix}$

MEDIUM

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 17 - Bar Graph, Histogram and Frequency Polygon>EXERCISE 17B>Q 7

The following table shows the number of illiterate persons in the age group $(10 - 58 years)$ in a town:

Age group (in years)	$10 - 16$	$17 - 23$	$24 - 30$	$31 - 37$	$38 - 44$	$45 - 51$	$52 - 58$
Number of illiterate persons	$175$	$325$	$100$	$150$	$250$	$400$	$525$

Draw a histogram to represent the above data.

EASY

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 17 - Bar Graph, Histogram and Frequency Polygon>EXERCISE 17B>Q 8

Draw a histogram to represent the following data:

$\begin{matrix} Class interval & 10 - 14 & 14 - 20 & 20 - 32 & 32 - 52 & 52 - 80 \\ Frequency & 5 & 6 & 9 & 25 & 21 \end{matrix}$

MEDIUM

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 17 - Bar Graph, Histogram and Frequency Polygon>EXERCISE 17B>Q 9

$100$ surnames were randomly picked up from a local telephone directory and frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

$\begin{matrix} Number of letters & 1 - 4 & 4 - 6 & 6 - 8 & 8 - 12 & 12 - 20 \\ Number of surnames & 6 & 30 & 44 & 16 & 4 \end{matrix}$

Draw a histogram to depict the given information.

EASY

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 17 - Bar Graph, Histogram and Frequency Polygon>EXERCISE 17B>Q 9

$100$ surnames were randomly picked up from a local telephone directory and frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

$\begin{matrix} Number of letters & 1 - 4 & 4 - 6 & 6 - 8 & 8 - 12 & 12 - 20 \\ Number of surnames & 6 & 30 & 44 & 16 & 4 \end{matrix}$

Write the class interval in which the maximum number of surnames lie.

MEDIUM

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 17 - Bar Graph, Histogram and Frequency Polygon>EXERCISE 17B>Q 10

Draw a histogram to represent the following information:

$\begin{matrix} Class interval & 5 - 10 & 10 - 15 & 15 - 25 & 25 - 45 & 45 - 75 \\ Frequency & 6 & 12 & 10 & 8 & 18 \end{matrix}$

The following table gives the lifetimes of 400 neon lamps: Lifetime (in hr) 300-400400-500500-600600-700700-800800-900900-1000 Number of lamps 14566086746248 Represent the given information with the help of a histogram.

Important Questions on Bar Graph, Histogram and Frequency Polygon

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