Question
Draw a histogram for the following data:
Class interval
600-640 640-680
680-720
720-760
760-800
800-840
Frequency
18 45
153
288
171
63
Hint. Take 1 small division = 3.

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Given below is the result of an annual examination of a class, showing the percentage of students in each category.
First division
Second division
Third division
Failed
25%
45%
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Represent the above data by a pie chart.
The ages (in years) of 360 patients treated in a hospital on a particular day are given below:
Age (in years)
10-20
20-30
30-40
40-50
50-60
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Number of patiets
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Draw a histogram for the given data.
Hint. Take 10 small divisions = 10 patients.
Solve the following equation and also check your result in case:
$\frac{3}{4}\text{x}+4\text{x}=\frac{7}{8}+6\text{x}-6$
Draw a rectangle ABCD such that l(AB) = 6.0 cm and l(BC) = 4.5 cm.
If $\text{x}^2+\frac{1}{\text{x}^2}=18,$ find the values of $\text{x}+\frac{1}{\text{x}}$ and $\text{x}-\frac{1}{\text{x}}.$
It x and y vary inversely, fill in the following blanks:
x
16
32
8
128
y
4
...
...
0.25
Find the smallest number that must be subtracted from those of the numbers which are not perfect cubes, to make them perfect cubes. What are the corresponding cube roots?
  1. 130
  2. 345
  3. 792
  4. 1331
Observe the following pattern,
$1^2=\frac{1}{6}\big[1\times(1+1)\times(2\times1+1)\big]$
$1^2+2^2=\frac{1}{6}\big[2\times(2+1)\times(2\times2+1)\big]$
$1^2+2^2+3^2=\frac{1}{6}\big[3\times(3+1)\times(2\times3+1)\big]$
$1^2+2^2+3^2+4^2=\frac{1}{6}\big[4\times(4+1)\times(2\times4+1)\big]$
and find the values of each of the following:
  1. $1^2+2^2+3^2+4^2+\ .....\ +10^2$
  2. $5^2+6^2+7^2+8^2+9^2+10^2+11^2+12^2$
Observe the following pattern,
$1=\frac{1}{2}\{1\times(1+1)\}$
$1+2=\frac{1}{2}\{2\times(2+1)\}$
$1+2+3=\frac{1}{2}\{3\times(3+1)\}$
$1+2+3+4=\frac{1}{2}\{4\times(4+1)\}$
and find the values of each of the following:
  1. $1+2+3+4+5+\ .....\ +50$
  2. $31+32+\ ...\ +50$
$\frac{2}{3}(\text{x}-5)-\frac{1}{4}(\text{x}-2)-\frac{9}{2}$