Finding median of Grouped Data when class Intervals are not given

Q.

If the arithmetic mean of $27,23,x-4,x+4,15,3$ and $7$ is $13$, then find the value of $x$ .

Q.

In the given frequency distribution where the marks are ordered, which 2 observations (students) are the median observations?

$$\begin{array}{cc}Marksobtained& Numberofstudents\left(Frequency\right)\\ 20& 6\\ 25& 20\\ 28& 24\\ 29& 28\\ 33& 15\\ 38& 4\\ 42& 2\\ 43& 1\end{array}$$

1. Cannot be determined

2. ${50}^{th}$ term and ${49}^{th}$ term

3. ${61}^{st}$ term and ${49}^{th}$ term

4. ${50}^{th}$ term and ${51}^{st}$ term

Q.

I have 6 terms in order a, b, c, d, e, f. What is/are the middle term/s?

1. c only

2. c, d

3. b only

4. d, e

Q.

If the mean of $5$ observations $x,x+2,x+4,x+6,x+8$ is $11$, then the mean of first three observations is $8$.

1. True
2. False

Q.

The median of $1,2,3,10,9,8,7,6,5$ is________.

Q.

The following observations are arranged in ascending order: $26,29,42,53,x,x+2,70,75,82,93$. If the median is $65$, find the value of $x$.