Question
Complete the following Cumulative Frequency Table:

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Fill in the blanks given in the following table
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In each of the figures given below, ABD is a rectangle. Find the values of x and y in each case.
  1. In Figure (1), O is the centre of the circle. If $\angle\text{OAB}=40^\circ$ and $\angle\text{OCB}=30^\circ,$ find $\angle\text{AOC}.$
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The sum of the deviations of a set of n values $x_1, x_2, x_3,..., x_n$ measured from $15$ and $-3$ are $-90$ and $54$ respectively. Find the value of n and mean.
If $(a + b + c)(a – b + c) = a2 + b2 + c2$, show that $a, b, c$ are in continued proportion.
In the given figure, AB is a diameter of a circle with centre O and DO || CB. If $\angle\text{BCD}=120^\circ,$ calculate
  1. $\angle\text{BAD}$
  2. $\angle\text{ABD}$
  3. $\angle\text{CBD}$
  4. $\angle\text{ADC}$
Also, show that $\triangle\text{AOD}$ is an equilateral triangle.