The expenditure of a family on different heads in a month is given below:
Head Expenditure (in $Rs$)
Food $4000$
Education $2500$
Clothing $1000$
House Rent $3500$
Others $2500$
Savings $1500$

Draw a bar graph to represent the data above.

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(N/A) To represent the given data using a bar graph,follow these steps:
$1$. Draw two perpendicular axes,the horizontal axis ($X$-axis) and the vertical axis ($Y$-axis).
$2$. Along the $X$-axis,represent the different heads of expenditure at equal intervals.
$3$. Along the $Y$-axis,represent the expenditure in $Rs$. Choose an appropriate scale,for example,$1 \text{ unit} = 500 \text{ Rs}$.
$4$. For each head,draw a rectangular bar of equal width. The height of each bar corresponds to the numerical value of the expenditure for that specific head.
$5$. The resulting bar graph is shown below:
$1125$-s50

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The marks obtained (out of $100$) by a class of $80$ students are given below:
MarksNumber of students
$10-20$$6$
$20-30$$17$
$30-50$$15$
$50-70$$16$
$70-100$$26$

Construct a histogram to represent the data above.

For drawing a frequency polygon of a continuous frequency distribution,we plot the points whose ordinates are the frequencies of the respective classes and abscissae are respectively:

$A$ grouped frequency table with class intervals of equal sizes using $250-270$ ($270$ not included in this interval) as one of the class intervals is constructed for the following data:
$268, 220, 368, 258, 242, 310, 272, 342$
$310, 290, 300, 320, 319, 304, 402, 318$
$406, 292, 354, 278, 210, 240, 330, 316$
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The frequency of the class $310-330$ is:

If the mean of $18, 2x, 27, 12, 3x, 5x$ and $21$ is $24,$ then find $x$.

State whether each of the following statements is true or false:
$(1)$ The median of the observations $12, 13, 14, 15, 16$ is $14$.
$(2)$ The mode of the observations $1, 3, 5, 7, 9$ is $5$.

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