$A$ 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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Three coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows:
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Prepare a frequency distribution table for the data given above.

Give one example of a situation in which $(i)$ the mean is an appropriate measure of central tendency.

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$41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60$
Find the mean,median,and mode of this data.

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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 $B$)
$0-10$ $3$ $0-10$ $5$
$10-20$ $9$ $10-20$ $19$
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$30-40$ $12$ $30-40$ $10$
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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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