The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below: Section Number of girls per thousand boys Scheduled Caste (SC) Scheduled Tribe (ST) Non-SC/ST Backward districts Non-backward districts Rural Urban 940 970 920 950 920 930 910 In the classroom discuss what conclusion can be arrived at from the graph.

A bar graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. The bars can be plotted vertically or horizontally. By representing section variable on x - axis and the number of girls per thousand boys on y - axis, the graph can be constructed by choosing an appropriate scale ( 1 unit = 100 girls for y - axis ) as follows: Here, all the rectangle bars are of same length and have equal spacing in between them. It can be observed that, the maximum number of girls per thousand boys is 970 , which belongs to the section ST. The minimum number of girls per thousand boys is 910 , which belongs to the section Urban. Now, the range of the data = 970 - 910 = 60 .

The length of 40 leaves of a plant are measured correct to one millimeter and the obtained data is represented in the following table: Length (in mm ) Number of leaves 118 - 126 127 - 135 136 - 144 145 - 153 154 - 162 163 - 171 172 - 180 3 5 9 12 5 4 2 Is there any other suitable graphical representation for the same data?

Length of leaves is represented in a discontinuous class interval having a difference of 1 in between them. So, we must add 0 . 5 to each upper-class limit and also have to subtract 0.5 from the lower-class limits to make our class intervals continuous. Length (in mm ) Number of leaves 117.5 - 126.5 3 126.5 - 135.5 5 135.5 - 144.5 9 144.5 - 153.5 12 153.5 - 162.5 5 162.5 - 171.5 4 171.5 - 180.5 2 Frequency polygons can also be drawn independently without drawing histograms. Other suitable graphical representation of this data could be frequency polygon as the maximum number of leaves (i.e. 12 ) have their length in between 144 . 5 mm and 153 . 5 mm .

The length of 40 leaves of a plant are measured correct to one millimeter and the obtained data is represented in the following table: Length (in mm ) Number of leaves 118 - 126 127 - 135 136 - 144 145 - 153 154 - 162 163 - 171 172 - 180 3 5 9 12 5 4 2 Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?

Length of leaves is represented in a discontinuous class interval having a difference of 1 in between them. So, we must add 0 . 5 to each upper-class limit and also have to subtract 0.5 from the lower-class limits to make our class intervals continuous. Length (in mm ) Number of leaves 117.5 - 126.5 3 126.5 - 135.5 5 135.5 - 144.5 9 144.5 - 153.5 12 153.5 - 162.5 5 162.5 - 171.5 4 171.5 - 180.5 2 The highest number of leaves 12 corresponds to the length 144 . 5 - 153 . 5 mm . It is not correct to conclude that the maximum number of leaves are 153 mm long because it is not necessary that all have their lengths as 153 mm .

Assam Board Solutions for Chapter: Statistics, Exercise 3: EXERCISE

Author:Assam Board

Assam Board Mathematics Solutions for Exercise - Assam Board Solutions for Chapter: Statistics, Exercise 3: EXERCISE

Attempt the free practice questions on Chapter 14: Statistics, Exercise 3: EXERCISE with hints and solutions to strengthen your understanding. MATHEMATICS Textbook for Class IX solutions are prepared by Experienced Embibe Experts.

Questions from Assam Board Solutions for Chapter: Statistics, Exercise 3: EXERCISE with Hints & Solutions

MEDIUM

9th Assam Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 14 - Statistics>EXERCISE>Q 1

A survey conducted by an organisation for the cause of illness and death among the women between the ages $15 - 44$ (in years) worldwide, found the following table (in $%$ ):

S.No.	Causes/ Health conditions	Female fatality rate ( $%$ )
$1$ . $2$ . $3$ . $4$ . $5$ . $6$ .	Reproductive Neuropsychiatric Injuries Cardiovascular Respiratory Other causes	$31.8$ $25.4$ $12.4$ $4.3$ $4.1$ $22.0$

Which condition is the major cause of women's ill health and death worldwide?

MEDIUM

9th Assam Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 14 - Statistics>EXERCISE>Q 2

The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below:

Section	Number of girls per thousand boys
Scheduled Caste (SC) Scheduled Tribe (ST) Non-SC/ST Backward districts Non-backward districts Rural Urban	$940$ $970$ $920$ $950$ $920$ $930$ $910$

In the classroom discuss what conclusion can be arrived at from the graph.

MEDIUM

9th Assam Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 14 - Statistics>EXERCISE>Q 3

Given below are the seats won by different political parties in the polling outcome of a state assembly elections:

Political Party	$A$	$B$	$C$	$D$	$E$	$F$
Seats Won	$75$	$55$	$37$	$29$	$10$	$37$

Which political party won the maximum number of seats? [Write alphabet only]

EASY

9th Assam Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 14 - Statistics>EXERCISE>Q 4

The length of $40$ leaves of a plant are measured correct to one millimeter and the obtained data is represented in the following table:

Length (in $mm$ )	Number of leaves
$118 - 126$ $127 - 135$ $136 - 144$ $145 - 153$ $154 - 162$ $163 - 171$ $172 - 180$	$3$ $5$ $9$ $12$ $5$ $4$ $2$

Is there any other suitable graphical representation for the same data?

EASY

9th Assam Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 14 - Statistics>EXERCISE>Q 4

The length of $40$ leaves of a plant are measured correct to one millimeter and the obtained data is represented in the following table:

Length (in $mm$ )	Number of leaves
$118 - 126$ $127 - 135$ $136 - 144$ $145 - 153$ $154 - 162$ $163 - 171$ $172 - 180$	$3$ $5$ $9$ $12$ $5$ $4$ $2$

Is it correct to conclude that the maximum number of leaves are $153 mm$ long? Why?

MEDIUM

9th Assam Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 14 - Statistics>EXERCISE>Q 5

The following table gives the lifetimes of neon lamps:

Length (in hours)	Number of lamps
$300 - 400$ $400 - 500$ $500 - 600$ $600 - 700$ $700 - 800$ $800 - 900$ $900 - 1000$	$14$ $56$ $60$ $86$ $74$ $62$ $48$

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

HARD

9th Assam Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 14 - Statistics>EXERCISE>Q 9

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

Number of letters	Number of surnames
$1 - 4$ $4 - 6$ $6 - 8$ $8 - 12$ $12 - 20$	$6$ $30$ $44$ $16$ $4$

Draw a histogram to depict the given information.

MEDIUM

9th Assam Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 14 - Statistics>EXERCISE>Q 9

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

Number of letters	Number of surnames
$1 - 4$	$6$
$4 - 6$	$30$
$6 - 8$	$44$
$8 - 12$	$16$
$12 - 20$	$4$

If the class interval in which the maximum number of surnames lie is

a - b

, then find

a + b

Assam Board Solutions for Chapter: Statistics, Exercise 3: EXERCISE

Assam Board Mathematics Solutions for Exercise - Assam Board Solutions for Chapter: Statistics, Exercise 3: EXERCISE

Questions from Assam Board Solutions for Chapter: Statistics, Exercise 3: EXERCISE with Hints & Solutions

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