$A$ family with a monthly income of $20,000$ had planned the following expenditures per month under various heads:
Heads Expenditure (in thousand rupees)
Grocery $4$
Rent $5$
Education of children $5$
Medicine $2$
Fuel $2$
Entertainment $1$
Miscellaneous $1$

Draw a bar graph for the data above.

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(N/A) We draw the bar graph for this data in the following steps. Note that the unit in the second column is thousand rupees. So,'$4$' against 'Grocery' means $4000$ rupees.
$1.$ We represent the Heads (variable) on the horizontal axis,choosing any scale,since the width of the bar is not important. For clarity,we take equal widths for all bars and maintain equal gaps in between.
$2.$ We represent the expenditure (value) on the vertical axis. Since the maximum expenditure is $5000$,we can choose the scale as $1$ unit = $1000$ rupees.
$3.$ To represent our first Head,i.e.,Grocery,we draw a rectangular bar with width $1$ unit and height $4$ units.
$4.$ Similarly,other Heads are represented,leaving a gap of $1$ unit in between two consecutive bars.
Here,you can easily visualize the relative characteristics of the data at a glance,e.g.,the expenditure on education is more than double that of medical expenses. Therefore,in some ways,it serves as a better representation of data than the tabular form.

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Give five examples of data that you can collect from your day-to-day life.

$A$ random survey of the number of children of various age groups playing in a park was found as follows:
Age (in years) Number of children
$1-2$ $5$
$2-3$ $3$
$3-5$ $6$
$5-7$ $12$
$7-10$ $9$
$10-15$ $10$
$15-17$ $4$

Draw a histogram to represent the data above.

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Construct a grouped frequency distribution table with class size $5$ for the data given above,taking the first interval as $0-5$ ($5$ not included). What main features do you observe from this tabular representation?

The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.
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Backward districts $950$
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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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