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 $(SC)$ $940$
Scheduled Tribe $(ST)$ $970$
Non $SC/ST$ $920$
Backward districts $950$
Non-backward districts $920$
Rural $930$
Urban $910$

$(i)$ Represent the information above by a bar graph.
$(ii)$ In the classroom,discuss what conclusions can be arrived at from the graph.

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(N/A) $(i)$ By representing the section (variable) on the $x$-axis and the number of girls per thousand boys on the $y$-axis,the bar graph can be constructed by choosing an appropriate scale (e.g.,$1$ unit $= 100$ girls on the $y$-axis).
$(ii)$ From the graph,it can be observed that:
$1$. The maximum number of girls per thousand boys $(970)$ is in the $ST$ section.
$2$. The minimum number of girls per thousand boys $(910)$ is in urban areas.
$3$. The number of girls per thousand boys is higher in rural areas compared to urban areas.
$4$. The number of girls per thousand boys is higher in backward districts compared to non-backward districts.
$5$. The number of girls per thousand boys is higher in $SC$ and $ST$ sections compared to the non-$SC/ST$ section.

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The points scored by a Kabaddi team in a series of matches are as follows:
$17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28$
Find the median of the points scored by the team.

Classify the data you can collect from your day-to-day life as primary or secondary data.
In our day-to-day life,we can collect the following data:
$1.$ Number of females per $1000$ males in various states of our country.
$2.$ Weights of students of our class.
$3.$ Production of wheat in the last $10$ years in our country.
$4.$ Number of plants in our locality.
$5.$ Rainfall in our city in the last $10$ years.

In a mathematics test given to $15$ students,the following marks (out of $100$) are recorded:
$41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60$
Find the mean,median,and mode of this data.

Consider the marks,out of $100$,obtained by $51$ students of a class in a test,given in the table below. Draw a frequency polygon corresponding to this frequency distribution table.
MarksNumber of students
$0-10$$5$
$10-20$$10$
$20-30$$4$
$30-40$$6$
$40-50$$7$
$50-60$$3$
$60-70$$2$
$70-80$$2$
$80-90$$3$
$90-100$$9$
Total$51$

The following table gives the distribution of students of two sections according to the marks obtained by them:
Marks (Section $A$) Frequency (Section $A$) Marks (Section $B$) Frequency (Section $B$)
$0-10$ $3$ $0-10$ $5$
$10-20$ $9$ $10-20$ $19$
$20-30$ $17$ $20-30$ $15$
$30-40$ $12$ $30-40$ $10$
$40-50$ $9$ $40-50$ $1$

Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons,compare the performance of the two sections.

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